...nal products 164 Chapter Two SOME APPLICATIONS OF FRE 2.1 Use of FRE in Chemical Engineering 167 2.2 New FRE to estimate the peak hours o... ... motor-drive system 197 2.10 Application of genetic algorithm to problems in chemical industries 199 2.11 Semantics of implication operators ... ... has 10 sections: we elaborately give the applications of FRE in flow rates in chemical industry problems, preference and determination of peak hou... ...m X to Y, binary relations R(X, Y) may assign to each element of X two or more elements of Y. Some basic operations on functions such as the invers... ...n that each element of Y has to an element of X is equal to the degree of that elements membership in the range of R. In addition, the height of a ... ...responding to one set is distinguished from nodes representing the other set. Elements of X × Y with non-zero membership grades in R(X, Y) are rep... ... ik ] ° [q kj ] where r ij = k max min (p ik q kj ). Observe that the same elements of P and Q are used in the calculation of R as would be use... ... give several of the applications of fuzzy relational equations in studies like chemical engineering, transportation, medicine etc. The fuzzy relati... ... applied to special problem. [81, 85, 100-101,111, 114] 2.1 Use of FRE in chemical engineering The use of fuzzy relational equations (FRE) f...

...s the level of service and the convenience factors. We have the following elements, Frequency of the service, in-vehicle travel time, the travel far... ...behaviour of a model are determined by activating the individual involved elements. This is achieved by ‘Clamping’ concepts of interest and includin... ...done by fixing the corresponding element in the input and the rest of the elements are given a value zero. Thus we have the input vector as a 1 × n ... ... effective strategic planning support with object- oriented expert systems elements and a hyperknowledge user interface. In this paper Carlsson and F... ...onversion link (black arrow, shown as a dotted line), a node (typically a chemical(s)) is converted into another node, and used up in the process. In... ... (blue arrows, shown as a thick line) represents an enzyme that enables a chemical conversion and does not get used up in the process. For figures pl... ...ustrial sectors. As an example a particular model may be suitable for the chemical industry but appropriate to service industry. 4. Models as desc... ...due to industries and in particular the problems faced by workers of some chemical industries and so on. Now we proceed on to define the notion of... ...lved in the inter-relations of concepts. 22. Can NRM be used to model a chemical plant? Justify your claim. 23. When the data is unsupervised wh...