# FUZZY MATHEMATICS

199

Ponraj R, Muthulakshmi C

ISBN: 9789391549558

Copyright Year: 2023

Pages: 196 PP

Binding: Paperback

Publisher: Yes Dee Publishing

SKU: 9789391549558 Categories: ,

## Description

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.

## Additional information

Weight 0.2 kg 22 × 14 × 1 cm

## Table of Contents

Chapter 1 Fuzzy Set

1.1 Introduction

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

t-conorm

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

Bibliography

## 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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