Includes bibliographieal referenees and index. It can also be used as an introduction to the subject. Distributors for all other countries: Kiuwer Academic Publishers Group.
Library of Congress Cataloging-in-Publication Data. The comparison between probability theory and fuzzy set theory is difficult primarily for two reasons: 1.
The contents and scope of operations research has been described and defined in many different ways.
Most of the people working in operations research will agree, however, that the modeling of problem situations and the search for optimal solutions to these models are undoubtedly important parts of it.
The Japanese have spent five years cranking out in- novative smart products, from . This volume tried to cover fuzzy set theory and its applications as extensively as possible. EkelTaking into account the uncertainty factor in problems of modelling and optimizing complex systems. One of the most basic concepts of fuzzy set theory that can be used to generalize crisp mathematical concepts to fuzzy sets is the extension principle. Pseudo fuzzy set has been proposed. Applications of fuzzy relations are widespread and important.
Both the membership functions may or may not be dependent. The hypothesis is that every positive sense has some negative sense . Although there are now many books about fuzzy set theory , and mainly about its applications , e. I would like to call a good degree of generality. The scope of applications of fuzzy sets —increasingly together with neural nets— is very large and still growing continuously.
The closer the problem is to human evaluation, intuition, perception, and decision making, the less dichotomous is the problem structure and the more relevant and promising is the application of . Mathematical programming is one of the areas to which fuzzy set theory has been applied extensively. Fuzzy Set Theory is well-established in the technical domain. When fuzzy set theory was introduced into MCDM research the methods were basically developed along the same.
Basic notions in fuzzy set theory are discusse along with fuzzy control and approximate reasoning. Uncertainty and informativeness, information . Educational systems typically employ classical methods of performance evaluation. In this system, student performance depends on exam and is evaluated only as success or failure. Alternative, non-classical performance evaluation methods may be use such as fuzzy logic, a mathematical technique of set - theory .
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