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Full Description
This book presents the rudiments of fuzzy set theory and fuzzy logic and related topics and their applications in a simple and easy-to-understand manner. Written with a general type of reader in mind, the book avoids the extremes of abstract mathematical proofs as well as specialized technical details of different areas of application. The book is intended to motivate the readers in getting a clear grasp of the basic concepts of the subject and its possible applications. A special feature of the book is that the exercises at the end of each chapter are preceded by a set of short-answer review-type questions. These are intended to help the reader in developing the confidence that he/she has correctly grasped the concepts introduced in the chapter. The book can be used as a text for the study of the topics of fuzzy set theory, fuzzy logic and their possible applications at the undergraduate, graduate and postgraduate students of mathematics, engineering and other disciplines of science, arts and medicine.
In this book:
Introduction
Fuzzy Sets
Operations on Fuzzy Sets
Fuzzy Numbers
Fuzzy Relations and Fuzzy Graphs
Fuzzy Functions and Calculus of Fuzzy Functions
Measures of Vagueness and Uncertainty
Evidence Theory, Possibility Theory and Probability Theory
Linguistic Variables, Fuzzy Rules and Fuzzy Propositions
Fuzzy Logic and Approximate Reasoning
Decision Making in a Fuzzy Environment
Construction of Fuzzy Sets and Defuzzification
Fuzzy Rules Based Models and Fuzzy Systems
Engineering and Other Applications
Intutionistic Fuzzy Sets, Rough Sets, Vague Sets and Soft Sets
Contents
Preface to the Second Edition
Preface to the First Edition
Acknowledgements
Chapter 1. Introduction
Chapter 2. Fuzzy Sets
Chapter 3. Operations on Fuzzy Sets
Chapter 4. Fuzzy Numbers
Chapter 5. Fuzzy Relations and Fuzzy Graphs
Chapter 6. Fuzzy Functions and Calculus of Fuzzy Functions
Chapter 7. Measures of Vagueness and Uncertainty
Chapter 8. Evidence Theory, Possibility Theory and Probability Theory
Chapter 9. Linguistic Variables, Fuzzy Rules and Fuzzy Propositions
Chapter 10. Fuzzy Logic and Approximate Reasoning
Chapter 11. Decision Making in a Fuzzy Environment
Chapter 12. Construction of Fuzzy Sets and Defuzzification
Chapter 13. Fuzzy Rules Based Models and Fuzzy Systems
Chapter 14. Engineering and Other Applications
Chapter 15. Intuitionistic Fuzzy Sets, Rough Sets, Vague Sets and Soft Sets
Bibliography
Index
