An Introduction to Fuzzy Set Theory and Fuzzy Logic

Science & Math

Mohan, Chander

Mathematics

MV Learning

This book is about mathematics and not a book on mathematics. The book will be of interest to those who have knowledge of school level mathematics and want to be aware of its fascinating and charming aspects which they might not have been exposed to, or might have missed in school days. The book is also intended to motivate in particular the youngsters into feeling attracted, fascinated and excited about mathematics instead of dreading it. The book is primarily a collection of school level topics of mathematics which lend themselves to relatively simple mathematical analysis. An effort has been made to present certain basic areas of school mathematics in a way that may provide intellectual stimulus and excitement to the reader. It has been the intention of the author to inform, entertain and make common people comfortable with mathematics instead of getting scared of it. The book takes the reader on a 'walking tour' of certain exciting and fascinating aspects of the popular areas of school level mathematics. The book has been divided into two parts. The first part is titled 'Charm and beauty in mathematics'. In this part an effort has been made to highlight charming, exciting and fascinating aspects of school level mathematics and its applications. It is spread over the first eleven chapters. The second part of the book is titled 'Mathematical diversions and recreations'. It introduces the reader to a variety of games and puzzles based on mathematics which provide not only good pastime and refreshment to the mind but also help in sharpening the mental faculties for critical and fast thinking. This part of the book contains five chapters.

The Fascinating World of Mathematics: Find Charm and Beauty in Mathematics; Mathematics Based Diversions and Recreations

Humor & Entertainment

Puzzles & Games

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.\nIn 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

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