Super Fuzzy Matrices and Super Fuzzy Models for Social Scientists

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This book introduces the concept of fuzzy super matrices and operations on them. The author has provided only those operations on fuzzy supermatrices that are essential for developing super fuzzy multi expert models. We do not indulge in labourious use of suffixes or superfixes and difficult notations; instead we illustrate the working by simple examples. This book will be highly useful to social scientists who wish to work with multi expert models. An important feature of this book is its simple approach. Illustrations are given to make the method of approach to the problems easily understandable. Super fuzzy models using Fuzzy Cognitive Maps, Fuzzy Relational maps, Bidirectional Associative Memories and Fuzzy Associative Memories are defined here. Every model is a multi expert model. This book will certainly be a boon not only to social scientists but also to engineers, students, doctors and researchers. The authors introduce thirteen multi expert models using the notion of fuzzy supermatrices. These models are also described by illustrative examples.

Author(s): W. B. Vasantha Kandasamy, Florentin Smarandache, K. Amal
Publisher: InfoLearnQuest
Year: 2008

Language: English
Pages: 280

Cover page......Page 1
Bibliographic Information......Page 2
CONTENTS......Page 3
PREFACE......Page 5
1.1 Supermatrices......Page 7
1.2 Introduction to Fuzzy Matrices......Page 65
2.1 Fuzzy Supermatrices and their Properties......Page 75
2.2 Pseudo Symmetric Supermatrices......Page 117
2.3 Special Operations on Fuzzy Super Special Row and Column Matrix......Page 140
3.1 New Super Fuzzy Relational Maps (SFRM) Model......Page 167
3.2 New Fuzzy Super Bidirectional Associative Memories (BAM) model......Page 176
3.3 Description of Super Fuzzy Associative Memories......Page 188
3.4 Illustration of Super Fuzzy Models......Page 199
3.5 Super FCM Models......Page 236
FURTHER READING......Page 247
INDEX......Page 275
ABOUT THE AUTHORS......Page 279