This book on Fuzzy Mathematics is developed for the benefit of
undergraduate students of Mathematics of various Universities. It
covers the following topics – Fuzzy Set, Special Fuzzy Set and Extension
Principle, Generalized Operation on Fuzzy Sets, Fuzzy Numbers, and Fuzzy Sets in Decision Making. This book is written in a very simple and easy to follow manner with numerous examples and solved problems to enable easy
understanding of the subject. This book will also be a handy reference for
aspirants of many competitive examinations.
Table of Contents
Chapter 1 Fuzzy Set
1.2 Inclusion and Operation on Fuzzy Sets
1.3 α-Cut, Strong α-Cut
1.4 Sigma Count and Convexity of Fuzzy Sets
Chapter 2 Special Fuzzy Set and Extension Principle
2.1 Special Fuzzy Set
2.2 Extension Principle
Chapter 3 Generalized Operation on Fuzzy Sets
3.1 Fuzzy Complement
3.2 t-Norms (Fuzzy Intersection)
3.3 t-Conorms (Fuzzy Union)
3.4 Combinations of Fuzzy Complement, t-norm and
Chapter 4 On Fuzzy Numbers
4.1 Fuzzy Number
4.2 Operations on Intervals
4.3 Operations on Fuzzy Numbers
Chapter 5 Fuzzy Sets in Decision Making
5.1 Individual Decision Makings
5.2 Multipersion Decision-Making
5.3 Fuzzy Linear Programming
About the Author
Dr. R Ponraj is Assistant Professor, Department of Mathematics at Sri Paramakalyani College, Alwarkurichi. He has fifteen years of experience in teaching and research. He has presented papers at national and international conferences and has 170 publications in reputed national/international journals. He has served as referee for more than thirty five national and international journals and was also editor-in-chief for proceedings of the national level conference.
Dr. C. Muthulakshmi @ Sasikala is Associate Professor and Head, Department of Mathematics at Sri Paramakalyani College, Alwarkurichi. She has more than twenty five years of teaching experience. She has published several research papers in various national/international journals. She has conducted and organized various training programmes on Recreational Mathematics and Vedic Mathematics with aid from UGC Minor Research Program.
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