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...PREFACE In an era marked by remarkable environmental challenges, rapid technological advances and progressive economic conditions, the world is at a critical juncture. Approaches to Environment, Technology, and Economy re...

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...EKER, NESLİHAN DOĞAN-SAĞLAMTİMUR Chapter 2 ..................................................................... 26 Metaverse Effects in Financial Technology MUSTAFA DİLMEN Chapter 3 ...................................................................... 49 Studying Antifungal Activity of Ailanthus Altissima Leaves Using in-Vitro and in-S...

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...us and Related Hydrochemical Parameters in the Northeastern Mediterranean Shel... ...nean Shelf Zone" was groundbreaking in the region. In 2009-2010, she was the Head ... ...eslihan DOĞAN SAĞLAMTİMUR has participated in 36 national and international projects as ... ...onment, technology, andenvironment, technology and economics.economics through comprehensive andthoughtful chapters. ... ...nary exploration of cutting-edge research addressing some of the economics are integrated to promotemost pressing issues facing society ... ... recognition also being performed. Byidentified by their convexity and ratio. A blowing high-pressure air onto t... ...directly affect living life the environmental, social, and economicsuch as floods and droughts are among sustainab...

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...This thirteenth volume of Collected Papers is an eclectic tome of 88 papers in various fields of sciences, such as astronomy, biology, calculus, economics, education and administration, game theory, geometry, graph theory, information fusion, decision making, instantaneous physics, quantum physics, n...

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... bccuong@gmail.com Luu Quoc Dat VNU University of Economics and Business, Vietnam National University, Hanoi, SR VIETNAM ... ...his thirteenth volume of Collected Papers is an eclectic tome of 88 papers in various fields of sciences, such as astronomy, biology, calculus, ec... ...s in various fields of sciences, such as astronomy, biology, calculus, economics, education and administration, game theory, geometry, graph theor... ...ience, scientific research methods, statistics, and others, structured in 17 chapters (Neutrosophic Theory and Applications; Neutrosophic Algebra;... ...atica; Miscellanea), comprising 965 pages, published between 2005-2022 in different scientific journals, by the author alone or in collaborati... ...ITED STATES OF AMERICA Willem K.M. Brauers Faculty of Business and Economics, Department of Economics, University of Antwerp, Antwerp, BELGIUM... ...oven the existence of an ecient solution of the problem (5) and the convexity property of crisp MOPP (6) in Theorems 5 and 6, respectively. ... ...gen- erate into intuitionistic fuzzy parameters, then the following convexity Theorem 6 of the auxiliary model (7) can be proved. ... ...th numerical cases in DMPs. Deli [10] introduced the concept of convexity using structures of s-set and fuzzy soft set (fs-set)....

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...It was known to me his setting up in 1980’s of a new literary and artistic avant-garde movement that he called “paradoxism”, because I received some books and papers dealing with it in order to review them for the German journal “Zentralblatt fár Mathematik”....

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...Paradoxism is an avant-garde movement in literature, art, philosophy, science, based on excessive used of antitheses, antinomies, contradictions, parables, odds, paradoxes in creations....

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... FLORENTIN SMARANDACHEA UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, N... ...oboth 1999, 2000, 2003 FLORENTIN SMARANDACHEA UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, N... ...eutrosophy - a new branch of philosophy: 13 2. Neutrosophic Logic - a unifying field in logics: 87 3. Neutrosophic Set - a unifying field in sets: 1... ... interrelationship, one searches Mathematics inconnection with Psychology, Sociology, Economics, and Literature. 13 This is a... ...s, and future interpretation - by using neutrosophic probability andstatistics). In economics Keynes chose for the concept of "unstable equilibrium"... ...ands that every new theory always be exactly the reverse of the old one"[Mark Blaug, <Economics Theory in Retrospective>]. Neohegelians:Reconciliatio... ...997.[11] Buhaescu, T., On an order relation between fuzzy numbers and fuzzy functions convexity,Itinerant seminar on functional equations, approximati... ..., Mecanica Teoretica, Fascicula II, Anul VI (XI), 1988, 5-7.[13] Buhaescu, T., On the convexity of intuitionistic fuzzy sets, Itinerant Seminar on Fun... ...ntuitionistic fuzzy sets, Itinerant Seminar on FunctionalEquations, Approximation and Convexity, Cluj-Napoca, 1988, 137-144.[14] Buhaescu, T., Some ob...

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...This tenth volume of Collected Papers includes 86 papers in English and Spanish languages comprising 972 pages, written between 2014-2022 by the author alone or in collaboration with the following 105 co-authors (alphabetically ordered) from 26 countries: Abu Sufian, Ali Hassan, Ali...

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...uctory Note This tenth volume of Collected Papers includes 86 papers in English and Spanish comprising 972 pages mainly on Neutrosophics, Plith... ...ssiffication, and so on, written between 2014-2022 by the author alone or in collaboration with the following 105 co-authors (alphabetically ordered... ... and developer of neutrosophic set / logic / probability / statistics etc. In 2006 he introduced the degree of dependence/independence between the neu... ... A theoretical and analytical approach to the conceptual framework of convexity cum concavity on fuzzy hypersoft sets with some generalized ... ...iousness Space Beyond Freudian Mental Model and Implications to Socio-Economics Modeling and Integrative Cancer Therapy) / 871 Luige Vlad... ... B Laura Bogdan Babes-Bolyai University, Faculty of Economics and Business Administration, Cluj-Napoca, ROMÂNIA eby_laura99@ya... ...MÂNIA eby_laura99@yahoo.com Willem K.M. Brauers Faculty of Business and Economics, Department of Economics, University of Antwerp, Antwerp, BELGIUM... ...theoretical and analytical approach to the conceptual framework of convexity cum concavity on fuzzy hypersoft sets with some generaliz... ...with Some Properties. Neutrosophic Sets and Systems 38, 335-354 Abstract. Convexity plays an imperative role in optimization, pattern classificatio...

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...ovska – write to:palma@unet.com.mkVisit the Author Archive of Dr. Sam Vaknin in "Central Europe Review":http://www.ce-review.org/authorarchives/vaknin... ...Vaknin's United Press International (UPI) Article Archive – Click HERE!World in Conflict and Transitionhttp://samvak.tripod.com/guide.htmlCreated by: ... ...with Golden SharesXI. The Future of the Accounting ProfessionXII. The Economics of ExpectationsXIII. Anarchy as an Organizing PrincipleXIV. ... ...mic TrustXVI. The Distributive Justice of the MarketXVII. Notes on the Economics of Game TheoryXVIII. The Spectrum of AuctionsXIX. Distribu... ... Survival Value of RiskXXI. The Agent-Principal ConundrumXXII. Trading in Sovereign PromisesXXIII. Portfolio Management TheoryXXIV. Going B... ...ti G Subrahmanyam, the Indian-bornCharles E Merrill professor of Finance and Economics inthe Stern School of Business at New York University hadthis t... ... bt=1 C = CouponPAR = Principal paymentn = number of payments5. BOND CONVEXITY - an increase in interest ratesresults in a price decline that ...

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...“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geome...

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... and Systems An International Journal in Information Science and Engineering University of... ... Mexico Neutrosophic Sets and Systems An International Journal in Information Science and Engineering Copyright No... ...ive,worldwide, royalty-free license to publish and distribute the articles in accordance with the Budapest Open Initi-ative: this means that electroni... ...of Agriculture (IPM), Malang,Peide Liu, Shandong University of Finance and Economics, Chi- Indonesia, Email: victorchristianto@gmail.com.na, Email: pe... ... University Salalah, Oman, Email: inayat@yahoo.com.Luu Quoc Dat, Univ. of Economics and Business, Vietnam Na- Riad K. Al-Hamido, Math Departent, Co... ...Mathematics, Faculty of Science, Willem K. M. Brauers, Faculty of Applied Economics, UniversityAtaturk University, Erzurum 25240, Turkey, Email: ... ...s of(over, off, under) neutrosophic geometric programming illustrating its convexity condition, and itsdecomposition theorems. The definitions of ( ... ...c programming. The present paper intends to discuss the (over, off, under) convexity inneutrosophic sets, introducing a new definition for convexity, ... ...vexity, and graphing the geometricalrepresentations for (over, off, under) convexity property. Neutrosophic sleeves, neutrosophic neut-sleeves and neu...

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...ent ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this...

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... Volume 53,2023 Neutrosophic Sets and Systems An International Journal in Information Science and Engineering ... ...Florentin Smarandache . Mohamed Abdel-Basset . Said Broumi Editors-in-ChiefISSN 2331-6055 (Print)ISSN 2331... ...ic Sets and Systems An International Journal in Information Science and Engineering ... ...niversity, Peide Liu, Shandong University of Finance andItaly,Email: giorgio.nordo@unime.it. Economics, China, Email: peide.liu@gm... ... Email: riad-hamido1983@hotmail.com.PO. Box: 259, Tanzania. Saeed Gul, Faculty of Economics, KardanOnesfole Kuramaa, De... ...188797@correo.uis.edu.co.Lebanese International University, Bekaa, Walid Abdelfattah, Faculty of Law, Economics andLebanon, Email: madeli... ...r each uncertain component of theneutro-sophic set. This study is aimed to integrate the classical concepts of convexity and concavity with RNS to mak... ...elonging grade; Sub non-belonging grade; Sub-indeterminacy grade; Infimum projection;Supremum projection; Ortho-convexity; Ortho-concavity.————————————... ... 275senses, Rahman et al. [11] and Ihsan et al. [26] proposed the conceptual framework of (m, n)-convexity-cum-concavity on fuzzy soft s...

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...Examples of Neutrosophy used in Arabic philosophy: - While Avicenna promotes the idea that the world is contingent if it is necessitated by its causes, Averroes rejects it, and both of them are right from their point of view. Hence and have common par...

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... All r ights r eser ved. No pa r t of this book ma y be r epr intedor r epr oduced or utilized in a ny for m or by a ny electr onic,mecha nica l, or o... ...or other mea ns, now known or her ea fter invented,including photocopying a nd r ecor ding, or in a ny infor ma tionstor a ge or r etr ieva l system, ... ...تب آلاف الصفحات في ظل الدكتاتورية الرومانية (غير منشورة)، وكمدرس تعاوني في ،(١٩٩٩ ، Professor in Africa المغرب («أستاذ في أفريقيـا» وكلاجئ في معسكر ... ...التفـسير المستقبلي – باستخدام الاحتمال والإحصاء النيوتروسوفي). Keynes (٢٥) تبنـى «كينـز» Economics · في علم الاقتـصاد (النظرية Unstable equili... ...of pure من أهم أعماله: «عناصـر الاقتـصاد الخـالص» .(١٨٧٤) economics :(١٩٠٧ –١٨٣٤) D. I. Mendeleiv ٢٧. «ديم... ... Dynaphilosophy Eعلم الاقتصاد Economicsتأثير Effect ... ...Buhaescu, T., On a n Or der Rela tion between Fuzzy Number s a nd F uzzy F unctions Convexity, Itinerant seminar on functional eq... ... unctions Convexity, Itinerant seminar on functional equations, approximation and convexity, Cluj-Napoca, 1987, 85- 90.16. Buhaescu, T.,... ...ica, Mecanica Teoretica, Fascicula II, Anul VI (XI), 1988, 5-7.17. Buhaescu, T., On the Convexity of Intuitionistic F uzzy Sets, Itine...

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......27 Neutrosophy - a new branch of philosophy 2．中智逻辑——逻辑学的统一 _........................................90 Neutrosophic Logic - a unifying field in logics 3．中智集合论——集合论的统一 _....................................109 Neutrosophic Set - a unifying field in sets 4．中智概率论 _..........................................................113 ——传统概率论和非精确概率论的概括总结 _ ——以及中智统计学 _ ...

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...·司马仁达齐 原著 FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC NEUTROSOPHY, NEUTROSOPHIC SET, NE... ...nese Translation & Annotation by Feng Liu (Xi'an University of Finance and Economics) NL(A1 ⊻ A2) = ( T1 ⊙ ⊖T2) ⊕ 2 ⊙ ... ... 1 弗罗仁汀·司马仁达齐 原著 FLORENTIN SMARANDACHEA UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, ... ... & Annotation by Feng Liu(School of Information, Xi'an University of Finance and Economics, 44 Cuihua Nan Road, Xi’an, Shaanxi, 710061, P. R. China)... ...up, NM 87301, USA 电子信箱: smarand@unm.edu该书的重印本可向以下单位订购 (This book can be ordered in a paper bound reprint from): Books on Demand ProQuest ... ...配, 来到西安财经学院计算中心, 同时担任教师工作, 现任西安财经学院信息学院经济信息系副教授 (Xi’an University of Finance and Economics, 该学院的前身包括: 西安基础大学 Xi’an Junior College、陕西工商学院 Shaanxi Busin... ...11] Buhaescu, T., On an order relation between fuzzy numbers and fuzzy functions convexity, Itinerant seminar on functional equations, approximation... ...ica Teoretica, Fascicula II, Anul VI (XI), 1988, 5-7.[13] Buhaescu, T., On the convexity of intuitionistic fuzzy sets, Itinerant Seminar on Function... ...istic fuzzy sets, Itinerant Seminar on Functional Equations, Approximation and Convexity, Cluj-Napoca, 1988, 137-144.[14] Buhaescu, T., Some observa...

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...................26 Neutrosophy - a new branch of philosophy 2．中智逻辑——逻辑学的统一 ...............................83 Neutrosophic Logic - a unifying field in logics 3．中智集合论——集合论的统一 ..............................100 Neutrosophic Set - a unifying field in sets 4．中智概率论 ...........................................103 ——传统概率论和非精确概率论的概括总结 ——以及中智统计学 Neutrosophic Probability - a ...

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... (美) 弗罗仁汀·司马仁达齐 原著 FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC NEUTROSOPHY, NEUTROSOPHIC SET, NEUTR... ...hinese Translation & Annotation by Feng Liu (Xi'an University of Finance and Economics) NL(A1 ⊻ A2) = ( T1 ⊙ ⊖T2) ⊕ 2 ⊙ ⊖T1)... ... 1 (美)弗罗仁汀·司马仁达齐 原著 FLORENTIN SMARANDACHEA UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, ... ... & Annotation by Feng Liu(School of Information, Xi'an University of Finance and Economics, 44 Cuihua Nan Road, Xi’an, Shaanxi, 710061, P. R. China)... ...up, NM 87301, USA 电子信箱: smarand@unm.edu该书的重印本可向以下单位订购 (This book can be ordered in a paper bound reprint from): Books on Demand ProQuest ... ...配, 来到西安财经学院计算中心, 同时担任教师工作, 现任西安财经学院信息学院经济信息系副教授 (Xi’an University of Finance and Economics, 该学院的前身包括: 西安基础大学 Xi’an Junior College、陕西工商学院 Shaanxi Busin... ...11] Buhaescu, T., On an order relation between fuzzy numbers and fuzzy functions convexity, Itinerant seminar on functional equations, approximation... ...ica Teoretica, Fascicula II, Anul VI (XI), 1988, 5-7.[13] Buhaescu, T., On the convexity of intuitionistic fuzzy sets, Itinerant Seminar on Function... ...istic fuzzy sets, Itinerant Seminar on Functional Equations, Approximation and Convexity, Cluj-Napoca, 1988, 137-144.[14] Buhaescu, T., Some observa...

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...t FRE and its applications. We have given only those papers which we could access and which interested us specially. We have taken those papers which in our opinion could be transformed for neutrosophic study....

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...hnology, Madras Chennai – 600036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache ... ...IS Church Rock 2004 1This book can be ordered in a paper bound reprint from: Books on Demand ProQuest Inform... ...s-otherformats.htmISBN: 1-931233-86-1Standard Address Number: 297-5092Printed in the United States of America 2CONTENTSDedication ... ...n subject to a system of fuzzy relationalequations is present. Due to the non convexity of its feasibledomain defined by fuzzy relation equations desi... ...presented a procedure to find an optimal solution. 2. Due to the non-convexity nature of its feasible domain, we tend to believe th... ...fuzzy neutrosophic set.We venture to define RI the real neutrosophy to define convexity.(RI) for some n n ∈ N is defined similar to R . This property ... ... K., More Test Examples for Non-linear Programming Codes, Lecture Notes in Economics and Mathematical Systems: 282, Springer, New York, 1987. ...

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...Examples of Neutrosophy used in Arabic philosophy: - While Avicenna promotes the idea that the world is contingent if it is necessitated by its causes, Averroes rejects it, and both of them are right from their point of view. Hence and have common par...

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...FLORENTIN SMARANDACHE SALAH OSMAN Neutrosophy in Arabic Philosophy Renaissance High Press ... ... 2007 Neutrosophy inArabic Philosophy Neutrosophy in Arabic Philosophy Florentin Smarandache, Ph D Associate ... ... titled: “From the Inspiration of Arabic Culture”.This book can be ordered in a paper bound reprint from: Books on Demand ... ...lectic, which is the basis of his researchin mathematics and economics, such as neutrosophic logic,neutrosophic set, neutrosophic probab... ...hes Mathematics in connection with Psychology,Sociology, Economics, and Literature. This is a foundation study of the ... ... interpretation - by using neutrosophic probability and statistics).· In economics Keynes chose for the concept of "unstable equilibrium" (<The Gen... ... Or der Rela tion between F uzzy Number s a nd Fuzzy F unctions Convexity, Itinerant seminar on functional equations, appr... ...rant seminar on functional equations, approximation and convexity, Cluj- Napoca, 1987, 85-90.[44] Buhaescu, T., On Qua ... ...ca, Fascicula II, Anul VI (XI), 1988, 5-7.[45] Buhaescu, T., On the Convexity of Intuitionistic Fuzzy Sets, Itinerant Seminar on Fun...

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...The soft set was generalized in 2018 by Smarandache to the hypersoft set by transforming the function 𝐹 into a multiargument function. This extension reveals that the hypersoft set with neutrosophic, intuitionistic, and fuzzy set theory will be very hel...

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...uhammad Saeed, Muhammad Haseeb, Ahtasham HabibMatrix Theory for Intuitionistic Fuzzy Hypersoft Sets and its application in Multi-AttributiveDecision-M... ...y Measures and Generalized weighted distances forInterval Valued Neutrosophic Hypersoft Matrices along with Application in MAGDMProblems………...……………………... ...hammad Umer Farooq, Muhammad Saqlain, Zaka-ur-RehmanThe Application of the Score Function of Neutrosophic Hypersoft Set in the Selection of SiC asGate... ...oft sets, Decision-making problem.1. IntroductionNumerous complicated problems include unclear data in social sciences, economics, medicalsciences, en... ...rsoftinverse images.1. IntroductionFor solving multifaceted problems in robotics, engineering, shortest-path selection, economics, andthe environment,... ...he fundamental Heilpern’s fixed point hypothesis [5]. In the pioneer research ofZhu and Xiao [6] they have examined the convexity, and quasiconvexity ... ...] demonstrated theidea of convex and concave fuzzy mappings. Syau [9], presented the idea of differentiability,summed up convexity e.g., pseudoconvexit... ...convex and concave fuzzy mappings. Fuzzy Sets and Systems, 103(1), 163-168. 9. Syau, Y. R. (2001). Differentiability and convexity of fuzzy mappings. C... ...text of ambiguity in the real world. Thechallenges of modeling ambiguous data are discussed regularly by researchers in economics,history, medical sci...

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...otality, limited view on a system because of its complexity) or the acquisition errors (intrinsically imperfect observations, the quantitative errors in measures).”...

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... (second printed edition) 2002This book can be ordered in microfilm format from: Books on Demand Pr... ...Box 1228, NM 87311, USA.ISBN: 1-931233-67-5Standard Address Number: 297-5092Printed in the United States of America First International Conference on ... ...llup.unm.edu/~smarandache/FirstNeutConf.htm. A selection of them is being published in these Proceedings of the Conference. Abstrac... ...97.[5] Buhaescu, T., On an order relation between fuzzy numbers and fuzzy functions convexity,Itinerant seminar on functional equations, approximation... ... Feng Liu Department of Management Science and Engineering Shaanxi Economics and Trade Institute (South Campus) South Cuihua ... ... Feng Liu Department of Management Science and Engineering Shaanxi Economics and Trade Institute (South Campus) South Cuihua ... ... Feng Liu Dept. of Management Science and Engineering, Shaanxi Economics and Trade Institute (South Campus), South Cuihua...

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...ent ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this...

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... Volume 50,2022 Neutrosophic Sets and Systems An International Journal in Information Science and Engineering ... ...Florentin Smarandache . Mohamed Abdel-Basset . Said Broumi Editors-in-ChiefISSN 2331-6055 (Print)ISSN 2331... ...ic Sets and Systems An International Journal in Information Science and Engineering ... ...niversity, Peide Liu, Shandong University of Finance andItaly,Email: giorgio.nordo@unime.it. Economics, China, Email: peide.liu@gm... ... Email: riad-hamido1983@hotmail.com.PO. Box: 259, Tanzania. Saeed Gul, Faculty of Economics, KardanOnesfole Kuramaa, De... ...188797@correo.uis.edu.co.Lebanese International University, Bekaa, Walid Abdelfattah, Faculty of Law, Economics andLebanon, Email: madeli... ...onstructed soft set by taking the advantage of parameterization tool. Rah-man et al. [35, 36] conceptualized m-convexity (m-concavity) and (m, n)-conv... ...ers [38]- [44]advanced this theory and used in many fields. Rahman et al. [45] conceptualized (m-n)-convexity(concavity)on fuzzy soft set w... ...ese structures for applications in decision-making problems(DMPs). Ihsan et al. [48,49]conceptualized convexity on soft expert set and fuz...

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...“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geome...

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... Sets and Systems An International Book Series in Information Science and Engineering ... ... University of New Mexico Neutrosophic Sets and Systems An International Book Series in Information Science and Engineering ... ... and Systems non-exclusive,worldwide, royalty-free license to publish and distribute the articles in accordance with the Budapest Open Initi-ative: th... ...: aaaola2003@yahoo.com. Mexico, Email: jestupinan2728@gmail.com.Luu Quoc Dat, Univ. of Economics and Business, B. Davvaz, Departme... ...jhasudan@hotmail.comSouth Korea, Willem K. M. Brauers, Faculty of Applied Economics,Email: kulhur@wonkwang.ac.kr. ... ...ristics of sequences defined in this space have been investigated here. Moreover, the notion of convexity and the metric in NSNLS have been introduc... ...oft Norm; Neutrosophic Soft Normed Linear Space (NSNLS); Convergent Sequence; Cauchy Sequence; Convexity; Metric in NSNLS; Neutrosophic Soft Metric... ...n 3. Then, there is a study on Cauchy sequence in an NSNLS in Section 4. Theconcept of convexity and the metric in NSNLS have been develope...

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...“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geome...

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... Volume 38, 2020 Neutrosophic Sets and Systems An International Journal in Information Science and Engineering ... ...Florentin Smarandache . Mohamed Abdel-Basset . Said Broumi Editors-in-ChiefISSN 2331-6055 (Print)ISSN 2331... ...ic Sets and Systems An International Journal in Information Science and Engineering ... ...ce andPeide Liu, Shandong University of Finance and Engineering, Shaoguan University, Shaoguan 512005,Economics, China, Email: peide.liu@... ...lahgamal@zu.edu.eg. Khalilov Str., AZ1148, Baku, Azerbaijan, Email:Luu Quoc Dat, Univ. of Economics and Business, kemale... ...a, Email: Department, Faculty of Business Administration andmujahid.abbas@up.ac.za. Economics University of Paderborn, ... ...87301, USA smarand@unm.edu ∗Correspondence: aurkhb@gmail.comAbstract. Convexity plays an imperative role in o... ...et (hS, E) as it transforms the function hS into a multi-attribute function hHS. Deliintroduced the concept of convexity cum concavity on soft sets to... ...n scenario.In this study, a theoretic and analytical approach is employed to develop a conceptual framework of convexitycum concavity on hypersoft set...

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...“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geome...

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... Neutrosophic Sets and Systems An International Journal in Information Science and Engineering ... ...and Engineering QuarterlyEditor-in-Chief: Associate Editors.Prof. Florentin S... ... Lupiaňez, Universidad Complutense, Madrid, Spain.(An International Journal in Information Peide Liu, Shandong University of Finance a... ...n Information Peide Liu, Shandong University of Finance and Economics, China.Science and Engineering) Pabitra ... ...ersity of Southern Queensland 4300, Luu Quoc Dat, Univ. of Economics and Business, Vietnam National Univ., Hanoi, Vietnam. ... ...il.com 2Centre for Mathematics and Statistical Sciences, Lahore School of Economics, 53200 Lahore, Pakistan. E-mail: ibeg@lahoreschool.edu.pkAbstrac... ... true arrhea, cholera, free of disease } etc. can be ap- due to convexity property. plied in developing NS. d) To ...

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...“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geome...

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... Volume 29, 2019 Neutrosophic Sets and Systems An International Journal in Information Science and Engineering ... ... Florentin Smarandache . Mohamed Abdel-Basset Editors-in-ChiefISSN 2331-6055 (Print)ISSN 2331... ...ic Sets and Systems An International Journal in Information Science and Engineering ... ...igeria, Email: aaaola2003@yahoo.com. Mexico, Email: jestupinan2728@gmail.com.Luu Quoc Dat, Univ. of Economics and Business, B. Davv... ...ail: jhasudan@hotmail.comEmail: kulhur@wonkwang.ac.kr. Willem K. M. Brauers, Faculty of Applied Economics,Kemale Veliyeva & Sadi Bayram... ...ganizations (NGOs) In Participatory and Sustainable Rural Economic Development in Nigeria. IOSR Journal of Economics and Finance (IOSR- JEF) (... ...(x) = FN (x) for all x  X. It remains to show thatDiv (M , N )  0 . For this, we first show the convexity of Div  . Since Div  is ... ... '' t ( ) Since  and t (0,) , therefore, f ( )  0 which proves the convexity of f  t .Thus, Div (...

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...This twelfth volume of Collected Papers includes 86 papers comprising 976 pages on Neutrosophics Theory and Applications, published between 2013-2021 in the international journal and book series “Neutrosophic Sets and Systems” by the author alone or in collaboration with the following 112 co-authors (alphabetically ordered) from 21 countries: Abdel Nasser H. Zaied, Muhamma...

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...Neutrosophic Theories and their Applications, published between 2013-2021 in the international book series about neutrosophic sets and systems by th... ...al book series about neutrosophic sets and systems by the author alone or in collaboration with the following 112 co-authors (alphabetically ordered)... ...f mathematicsat the University of New Mexico, United States. He got hisMSc in Mathematics and Computer Science from theUniversity of Craiova, Romania,... ...er selection in a supply chain." International Journal of Production Economics 104, no. 2 (2006): 394- 407.[9] D. Pintu, Tapan K. R. “Multi... ... 1, and F(x2) = (-0.7, -0.3) that is totally below 0. social science, economics and so on that the readers mayAlso B = {(a, <0.3, [-0.1, 0.1], [1... ...off, under) neutrosophic geometric programming illustrating its convexity condition, and its decomposition theorems. The definit... ...ogramming. The present paper intends to discuss the (over, off, under) convexity in neutrosophic sets, introducing a new definition for convex... ...exity, and graphing the geometrical representations for (over, off, under) convexity property. Neutrosophic sleeves, neutrosophic neut-sleeves and... ... computer science, physical science, electrical communication engineering, economics and Operation Research etc. In 1852, Francis Guthrie’s four-col...

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...ent ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this...

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... Volume 55,2023 Neutrosophic Sets and Systems An International Journal in Information Science and Engineering ... ...Florentin Smarandache . Mohamed Abdel-Basset . Said Broumi Editors-in-ChiefISSN 2331-6055 (Print)ISSN 2331... ...ic Sets and Systems An International Journal in Information Science and Engineering ... ...niversity, Peide Liu, Shandong University of Finance andItaly,Email: giorgio.nordo@unime.it. Economics, China, Email: peide.liu@gm... ... Email: riad-hamido1983@hotmail.com.PO. Box: 259, Tanzania. Saeed Gul, Faculty of Economics, KardanOnesfole Kuramaa, De... ...188797@correo.uis.edu.co.Lebanese International University, Bekaa, Walid Abdelfattah, Faculty of Law, Economics andLebanon, Email: madeli... ...𝑋 .Now, it remains shown that 𝕀(𝐴, 𝐴) ≥ 0. In order to prove the non-negativity, first we need to provethe convexity of 𝕀𝛾. Since, 𝕀𝛾(𝐴, 𝐴) ... ... ,, ,,Since, 𝛾 ∈ ℕ and 𝑟 ∈ (0, ∞), therefore, 𝑎𝛾(𝑟) ≥ 0 which shows the convexity of 𝑎𝛾(𝑟). Hence,𝕀(𝐴, 𝐴)... ... Applied Mathematics, 93(3), 369-376.37. Ihsan, M., Rahman, A. U., Saeed, M., and Khalifa, H. A. E. W. (2021). Convexity-cum-concavity on fuzzy soft ...

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...ent ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this...

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... Volume 42, 2021 Neutrosophic Sets and Systems An International Journal in Information Science and Engineering ... ...Florentin Smarandache . Mohamed Abdel-Basset . Said Broumi Editors-in-ChiefISSN 2331-6055 (Print)ISSN 2331... ...ic Sets and Systems An International Journal in Information Science and Engineering ... ...ment ofPeide Liu, Shandong University of Finance and Mathematics, Arbaminch University, Arbaminch,Economics, China, Email: peide.liu@gmai... ...ahgamal@zu.edu.eg. Ganeshsree Selvachandran, UCSI University, Jalan MenaraLuu Quoc Dat, Univ. of Economics and Business, Gading, ... ...eo.uis.edu.co.United Institute of Informatics Problems of the National Walid Abdelfattah, Faculty of Law, Economics andAcademy of Sciences of Bel... ...ed neutrosophic soft linear spaces (NSLSs).In [11] neutrosophic norm, Cauchy sequence in NSNLS, the convexity of NSNLS, metric inNSNLS ... ...aces(NSNLS) was defined by Bera and Mahapatra [2]. Besides, In [2], neutrosophicnorm, Cauchy sequence in NSNLS, convexity of NSNLS, metric in NSNLS wer...

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...ernational journal, and published quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-euclidean geometry and topology and their applications to other sciences. Topics in detail to be covered are: Smarandache mu...

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...§1. Why is the WORLD a Combinatorial One? The multiplicity of the WORLD results in modern sciences overlap and hybrid, also implies its combinatorial structure. To see more clear, we present two meaningful proverbs following. Proverb 1. Ames Room An Ames room is a distorted room constructed so that fro...

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...d Space and Its Deformation Retract BY H. RAFAT. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .23 On Degree Equitable Sets in a Graph BY A. ANITHA, S. ARUMUGAM AND E. SAMPATHKUMAR . . . . . . . . . . . . 32 Smarandachely k-Constrained Number of Paths and Cycles BY P. DEVADAS RAO, B. SOORYANARAYANA, M. JAYALAKSHMI . . . . . . . . . 48 On Funct...

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...ully refereed international journal, sponsored by the MADIS of Chinese Academy of Sci-ences and published in USA quarterly comprising 100-150 pages ap... ... comprising 100-150 pages approx. per volume, whichpublishes original research papers and survey articles in all aspects of Smarandache multi-spaces,S... ...atical combinatorics, non-euclidean geometry and topologyand their applications to other sciences. Topics in detail to be covered are: Smarandache mu... ... many-body system in natural or socialscience, such as those in mechanics, cosmology, physical structure, economics,· · · , etc..22 ... ...ctor spaces. II., Fuzzy Sets and Systems, 12 (1984), no. 2, 143-154.[12] S. S. Kim and Y. J. Cho, Strict convexity in linear n− normed spaces, Demon...

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...ent ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this...

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... Volume 49, 2022 Neutrosophic Sets and Systems An International Journal in Information Science and Engineering ... ...Florentin Smarandache . Mohamed Abdel-Basset . Said Broumi Editors-in-ChiefISSN 2331-6055 (Print)ISSN 2331... ...ic Sets and Systems An International Journal in Information Science and Engineering ... ...niversity, Peide Liu, Shandong University of Finance andItaly,Email: giorgio.nordo@unime.it. Economics, China, Email: peide.liu@gm... ... Email: riad-hamido1983@hotmail.com.PO. Box: 259, Tanzania. Saeed Gul, Faculty of Economics, KardanOnesfole Kuramaa, De... ...188797@correo.uis.edu.co.Lebanese International University, Bekaa, Walid Abdelfattah, Faculty of Law, Economics andLebanon, Email: madeli... ...nd Systems, Vol. 49, 2022 304 (b) Fig 3 (a) Convexity and (b) Minimum Value of the ...

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...“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geome...

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... Volume 32, 2020 Neutrosophic Sets and Systems An International Journal in Information Science and Engineering ... ... Florentin Smarandache . Mohamed Abdel-Basset Editors-in-ChiefISSN 2331-6055 (Print)ISSN 2331... ...ic Sets and Systems An International Journal in Information Science and Engineering ... ... Madad Khan, Comsats Institute of Information Technology,Peide Liu, Shandong University of Finance and Economics, Abbottabad, Pakistan, Ema... ...ail: abduallahgamal@zu.edu.eg.University, Abu Dhabi 144534, United Arab Emirates. Luu Quoc Dat, Univ. of Economics and Business, VietnamEmail: M... ...eo.uis.edu.co.and Geometry, Baku State University, 23 Z. Khalilov Str., Walid Abdelfattah, Faculty of Law, Economics andAZ1148, Baku, Azerbaijan, ... ... wxˆ   vx i wx i.e., X v x wx  wxˆ  . From the strictly convexity of the function wx ... ...-126.34. Lai, H. G.; Lee, J. C.; & Ho, S. C. Parametric duality on minimax programming involving generalized convexity in complex space. Journal of ...

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...ent ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this...

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... Volume 47, 2021 Neutrosophic Sets and Systems An International Journal in Information Science and Engineering ... ...Florentin Smarandache . Mohamed Abdel-Basset . Said Broumi Editors-in-ChiefISSN 2331-6055 (Print)ISSN 2331... ...ic Sets and Systems An International Journal in Information Science and Engineering ... ...nce, Vietnam Peide Liu, Shandong University of Finance andNational Univ. Hanoi, Vietnam, Economics, China, Email: peide.liu@gm... ... Email: abduallahgamal@zu.edu.eg.Zayed University, Abu Dhabi 144534, United Luu Quoc Dat, Univ. of Economics and Business,Arab Emirates. ... ...88797@correo.uis.edu.co.Science, Mathematical Statistics Department, Walid Abdelfattah, Faculty of Law, EconomicsHoms, Syria, Email: ralha... ...oreover, Bera and Mahapatra [24] introduced the neutrosophic soft linear space. Bera andMahapatra [25] studied convexity, metric, Cauchy sequence, and...

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...ent ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this...

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... Volume 43, 2021 Neutrosophic Sets and Systems An International Journal in Information Science and Engineering ... ...Florentin Smarandache . Mohamed Abdel-Basset . Said Broumi Editors-in-ChiefISSN 2331-6055 (Print)ISSN 2331... ...ic Sets and Systems An International Journal in Information Science and Engineering ... ...ment ofPeide Liu, Shandong University of Finance and Mathematics, Arbaminch University, Arbaminch,Economics, China, Email: peide.liu@gmai... ...ahgamal@zu.edu.eg. Ganeshsree Selvachandran, UCSI University, Jalan MenaraLuu Quoc Dat, Univ. of Economics and Business, Gading, ... ...eo.uis.edu.co.United Institute of Informatics Problems of the National Walid Abdelfattah, Faculty of Law, Economics andAcademy of Sciences of Bel... ...e fundamentals of hypersoft set theory. UrRahman et al. [39] developed a conceptualframework of convexity and concavity on the hy...

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...“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geome...

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... Volume 28, 2019 Neutrosophic Sets and Systems An International Journal in Information Science and Engineering ... ... Florentin Smarandache . Mohamed Abdel-Basset Editors-in-ChiefISSN 2331-6055 (Print)ISSN 2331... ...ic Sets and Systems An International Journal in Information Science and Engineering ... ...igeria, Email: aaaola2003@yahoo.com. Mexico, Email: jestupinan2728@gmail.com.Luu Quoc Dat, Univ. of Economics and Business, B. Davv... ...ail: jhasudan@hotmail.comEmail: kulhur@wonkwang.ac.kr. Willem K. M. Brauers, Faculty of Applied Economics,Kemale Veliyeva & Sadi Bayram... ... is applicable in many fields suchas computer science, physical science, electrical communication engineering, economics andOperation Research etc. In... ...oped the theory of fuzzy topology in 1967. The notions of inclusion, union,intersection, complement, relation, convexity, and so forth, are expanded t...

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...Contributors to current issue (listed in papers’ order): Atena Tahmasbpour Meikola, Arif Mehmood, Wadood Ullah, Said Broumi, Muhammad Imran Khan, Humera Qureshi, Muhammad Ibrar Abbas, Humaira Kalsoom, Fawad Nadeem, T. Chalapathi, L. Madhavi, R. Suresh, S. Palania...

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... Sets and SystemsAn International Book Series in Information Science and Engineering University of New ... ...xico Neutrosophic Sets and Systems An International Book Series in Information Science and Engineering Copyright ... ...sive,worldwide, royalty-free license to publish and distribute the articles in accordance with the Budapest Open Ini-tiative: this means that electron... ...ute of Information Technology,Peide Liu, Shandong University of Finance and Economics, Abbottabad, Pakistan, Email: madadmath@yahoo.com.China, Emai... ...rsity, Abu Dhabi 144534, United Arab Emirates. Luu Quoc Dat, Univ. of Economics and Business, VietnamEmail: Mutaz.Mohammad@zu.ac.ae. ... ...ate University, 23 Z. Khalilov Str., Walid Abdelfattah, Faculty of Law, Economics andAZ1148, Baku, Azerbaijan, Email: kemale2607@mail.ru, Ma... ...didate. The notions of inclusion,union, intersection, complement, relation, convexity, etc. have been applied to such sets, differentproperties of the...

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...“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geome...

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... Volume 30, 2019 Neutrosophic Sets and Systems An International Journal in Information Science and Engineering ... ... Florentin Smarandache . Mohamed Abdel-Basset Editors-in-ChiefISSN 2331-6055 (Print)ISSN 2331... ...ic Sets and Systems An International Journal in Information Science and Engineering ... ...eokuta, Nigeria, Email: aaaola2003@yahoo.com.Email: vulucay27@gmail.com. Luu Quoc Dat, Univ. of Economics and Business,Peide Liu, Shand... ...s and Business,Peide Liu, Shandong University of Finance and Vietnam National Univ., Hanoi, Vietnam,Economics, China, Email: peide.liu@gmai... ...@correo.uis.edu.coNeilys González Benítez, Centro Meteorológico Pinar del Walid Abdelfattah, Faculty of Law, Economics andRío, Cuba, E-mail: neilys7... ...ormed linear spaces, Fuzzy sets and Systems 63 (1994), no.2,207-217. 27. Kim, S.S., and Cho, Y.J., strict convexity in linear n-normed spaces, De...

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...This book serves as useful guidance for learning about the current progress in neutrosophic theories. In total, 22 studies have been presented and reflect the call of the thematic vision. The contents of each study included in the volume are briefly described as follows....

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...ions•Stefan Vladutescu and Mihaela Colhon New Challenges in Neutrosophic Theory and Applications ... ...Colhon Printed Edition of the Special Issue Published in Mathematics www.mdpi.com/journal/mathematicsNew Challenges in N... ...ematicsNew Challenges in NeutrosophicTheory and ApplicationsNew Challenges in NeutrosophicTheory and ApplicationsEditorsStefan VladutescuMihaela Colho... ...ration increases the widthof fuzzy OC curve. The fuzzy OC curves show more convexity when sample size n increases. FuzzyOC curve with c = 0 shows less... ...ssuncertainty will give a narrow width. The fuzzy OC curves also show more convexity at a large samplesize. The mean ratio in the Birnbaum-Saunders di... ...art of modern decision science andrelates to many complex factors, such as economics, psychological behavior, ideology, military and soon. For a prope... ... Photographic Technology, Instruments, Instrumentation, Physics, Optics, Economics, Mechanics, Neurosciences, Radiology Nuclear, Medicine, Medical ...

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...ent ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this...

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... Second Version Neutrosophic Sets and Systems An International Journal in Information Science and Engineering ... ...Florentin Smarandache . Mohamed Abdel-Basset . Said Broumi Editors-in-ChiefISSN 2331-6055 (Print)ISSN 2331... ...ic Sets and Systems An International Journal in Information Science and Engineering ... ...niversity, Peide Liu, Shandong University of Finance andItaly,Email: giorgio.nordo@unime.it. Economics, China, Email: peide.liu@gm... ... Email: riad-hamido1983@hotmail.com.PO. Box: 259, Tanzania. Saeed Gul, Faculty of Economics, KardanOnesfole Kuramaa, De... ...188797@correo.uis.edu.co.Lebanese International University, Bekaa, Walid Abdelfattah, Faculty of Law, Economics andLebanon, Email: madeli... ...aper Interval Neutrosophic Sets was published by Haibin Wang, et al. in 2004 [4].They introduce and verify the convexity of interval valued neutrosoph...

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...Excerpt: Phase the First; The Maiden -- I -- On an evening in the latter part of May a middle-aged man was walking homeward from Shaston to the village of Marlott, in the adjoining Vale of Blakemore or Blackmoor. The pair of legs that carried him were rickety, and there was a bias in...

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...ase the First — The Maiden 1 Phase the First — The Maiden I O n an evening in the latter part of May a middle aged man was walking home ward from Sha... ...le aged man was walking home ward from Shaston to the village of Marlott, in the adjoining Vale of Blake more or Blackmoor. The pair of legs that ca... ...moor. The pair of legs that carried him were rickety, and there was a bias in his gait which inclined him somewhat to the left of a straight line. He ... ... of children, of ages ranging from six to fourteen, rose above the stubbly convexity of the hill. The face of Tess flushed slightly, but still she did ... ...ct her d’Urberville descent was a fact of great di mensions; worthless to economics, it was a most useful ingredient to the dreamer, to the moralizer...