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An Introduction to Fuzzy Set Theory and Fuzzy Logic

Second Edition

Chander Mohan (author)

ISBN: 9789388971010

Publication Date: Jun 2019

Format: Paperback

Also available as: Hardback  

Presents the rudiments of fuzzy set theory and fuzzy logic and related topics and their applications in a simple and easy-to-understand manner. The book avoids the extremes of abstract mathematical proofs as well as specialized technical details of different areas of application.
£26.50

In stock: ships within 24hrs

  • Full Description
  • More Information
  • Table of Contents
  • Author Biography
  • Customer Reviews
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
Pages 392
Dimensions 229 x 152
Date Published 30 Jun 2019
Publisher MV Learning
Subject/s Mathematical logic   Fuzzy set theory  
  • 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
Prof Chander Mohan was born on 8 October 1939 in Jhelum, British India, now on Pakistan. He completed his B.A. (Honours) in Mathematics in 1957 and M.A. in Mathematics in 1960 from Panjab University, Chandigarh, India. He obtained his Ph.D. in Mathematics from the University of Roorkee, India in 1967. He taught at Multanimal Modi College, Modinagar, India, as Lecturer in Mathematics during 1961–64. Thereafter he taught at the Department of Mathematics, University of Roorkee, as Lecturer (1964–70); as Reader (1970–85); and as Professor (1985–2000). He was also Head of the Department during 1994–99. He has also served as Professor and Dean, Amity School of Computer Science, Noida, Uttar Pradesh, India (2000–02); as Professor and Head, Mathematics Department, I.I.L.M. College of Engineering and Technology, Greater Noida, Uttar Pradesh, India (2002–04). Currently, he is Professor Emeritus, Department of Computer Science, Ambala College of Engineering and Applied Research, Ambala, Haryana, where he has been teaching since 2004. He has over 90 research publications in national and international research journals and three books on technical subjects to his credit. He is also the recipient of the Khosla Research Award in 1990 and Millennium Award of Honour of the American Biographical Institute. He is listed in the Who's Whopublications. He is a member of the International Astronomical Union, Operations Research Society of India (Founder Member), Indian Astronomical Society (Founder Member), Indian Society for Industrial and Applied Mathematics (Executive Committee Member), and honorary chair, Indian Society of Soft Computing.

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