# Fuzzy Logic with Engineering Applications

John Wiley & Sons, Aug 16, 2004 - Technology & Engineering - 628 pages
Fuzzy logic refers to a large subject dealing with a set of methods to characterize and quantify uncertainty in engineering systems that arise from ambiguity, imprecision, fuzziness, and lack of knowledge. Fuzzy logic is a reasoning system based on a foundation of fuzzy set theory, itself an extension of classical set theory, where set membership can be partial as opposed to all or none, as in the binary features of classical logic.

Fuzzy logic is a relatively new discipline in which major advances have been made over the last decade or so with regard to theory and applications.  Following on from the successful first edition, this fully updated new edition is therefore very timely and much anticipated. Concentration on the topics of fuzzy logic combined with an abundance of worked examples, chapter problems and commercial case studies is designed to help motivate a mainstream engineering audience, and the book is further strengthened by the inclusion of an online solutions manual as well as dedicated software codes.

Senior undergraduate and postgraduate students in most engineering disciplines, academics and practicing engineers, plus some working in economics, control theory, operational research etc, will all find this a valuable addition to their bookshelves.

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The answer in problem no. 5.10 & 5.11 is wrong,Plzzz rectify that.

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This is a clear and comprehensive account of the mathematics of Fuzzy Logic, a branch of mathematics and logic persuasive in handling the uncertainty of language and knowledge and forming the foundation of many contemporary control systems.
Examples and exercises abound and comprehensive worked-out examples supports the text.
Together with the older introduction by Cox (The Fuzzy Systems Handbook, ISBN 9780127848105) this constitues a very comprehensive and useful introduction to fuzzy systems. (Read Cox first, though).

### Contents

 Introduction I 1 Classical Sets and Fuzzy Sets 24 Classical Relations and Fuzzy Relations 52 Properties of Membership Functions Fuzzification 90 Logic and Fuzzy Systems 120 Development of Membership Functions 178 Automated Methods for Fuzzy Systems 212 Fuzzy Systems Simulation 245
 Decision Making with Fuzzy Information 308 Fuzzy Classification and Pattern Recognition 362 Fuzzy Arithmetic and the Extension Principle 445 Fuzzy Control Systems 476 Miscellaneous Topics 537 Belief Plausibility Probability 572 Appendix A Axiomatic Differences between Fuzzy Set Theory 610 Index of Examples and Problems by Discipline 621

 Rulebase Reduction Methods 274