Items related to An Introduction to Fuzzy Set Theory and Fuzzy Logic
Synopsis
This book presents the basic rudiments of fuzzy set theory and fuzzy logic and their applications in a simple easy to understand manner. The book avoids the extremes of abstract mathematical proofs as well as specialised technical details of different areas of application; it 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 confidence that he/she has correctly grasped the concepts introduced in the chapter.
Undergraduate and postgraduate students of mathematics will find this book of real help in understanding the concepts of fuzzy set theory and fuzzy logic and their possible applications.
Table of Contents
• Introduction
• Fuzzy Sets
• Operations on Fuzzy Sets
• Fuzzy Numbers
• Fuzzy Relations and Fuzzy Graphs
• Fuzzy Functions and Calculus of Fuzzy Functions
• Fuzzy Measures and Measures of Fuzziness
• Evidence Theory, Possibility Theory and Probability Theory
• Linguistic Variables, Fuzzy Rules and Fuzzy Propositions
• Fuzzy Logic and Approximate Reasoning
• Construction of Fuzzy Sets and Defuzzification
• Decision Making in a Fuzzy Environment
• Fuzzy Rules Based Models and Fuzzy Systems
• Engineering and Other Applications
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About the Author
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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