An Introduction to Fuzzy Set Theory and Fuzzy Logic

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9781848290259: An Introduction to Fuzzy Set Theory and Fuzzy Logic

There are several books available on Fuzzy Set Theory and Fuzzy Logic, however most of them are written by engineers and scientists with a specialised set of readers in mind. However this book has been written with a general type of reader in mind who, to begin with, does not have any specific applications of the subject in mind while starting to study the subject as a scientific discipline in its own right.

The book presents the basic rudiments of fuzzy set theory and fuzzy logic in a manner in which other topics of basic mathematics, such as set theory, algebra and calculus etc are usually presented. No specialised knowledge of any engineering discipline or other subject is expected of the reader. Effort has been made to tread the middle path, which avoids the extremes of abstract mathematical proofs and the specialised technical details of the areas of application. The author has taught this subject to undergraduate and postgraduate engineering and mathematics students for many years and has also used it in his research work related to the development of computational algorithms for solving real life optimisation problems.


1. Introduction
2. Fuzzy Sets
3. Operations on Fuzzy Sets
4. Fuzzy Numbers
5. Fuzzy Relations and Fuzzy Graphs
6. Fuzzy Functions and Calculus of Fuzzy Functions
7. Fuzzy Measures and Measures of Fuzziness
8. Evidence Theory, Possibility Theory and Probability theory
9. Linguistic Variables, Fuzzy Rules and fuzzy Propositions
10. Fuzzy Logic and Approximate Reasoning
11. Construction of Fuzzy Sets and Defuzzification
12. Decision Making in a Fuzzy Environment
13. Fuzzy Rules Based Models and Fuzzy Systems
14. Engineering and Other Applications
Also available:

Modern Mathematical Models, Methods And Algorithms for Real World Systems - ISBN 1904798640
Bayesian Statistics And Its Applications - ISBN 190574000X

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About the Author:

CHANDER MOHANAmbala College of Engineering & Applied Research, India

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