Special Fuzzy Matrices for Social Scientists

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This book introduces special classes of Fuzzy and Neutrosophic Matrices. These special classes of matrices are used in the construction of multi-expert special fuzzy models using FCM, FRM and FRE and their Neutrosophic analogues (simultaneous or otherwise according to ones need). Using the six basic models, we have constructed a multi-expert multi-model called Super Special Hexagonal Fuzzy and Neutrosophic Model. Given any special input vector, these models can give the resultant using special operations. When coupled with computer programming, these operations can give the solution within a reasonable time period. Such multi-expert multi-model systems are not only a boon to social scientists, but also to anyone who wants to use Fuzzy and Neutrosophic Models.

Author(s): W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral
Publisher: InfoLearnQuest
Year: 2007

Language: English
Pages: 302

Cover......Page 1
Front Matter......Page 2
CONTENTS......Page 4
PREFACE......Page 6
1.1 Introduction to Fuzzy Matrices......Page 8
1.2 Special Classes of Fuzzy Matrices......Page 27
1.3 Special Neutrosophic matrices and fuzzy neutrosophicmatrices and some essential operators using them......Page 99
2. SPECIAL FUZZY MODELS AND SPECIAL NEUTROSOPHIC MODELS AND THEIR GENERALIZATIONS......Page 172
2.1 Basic Description of Fuzzy Models......Page 173
2.2 Neutrosophy and Neutrosophic models......Page 188
2.3 Special Fuzzy Cognitive Models and their Neutrosophic Analogue......Page 217
2.4 Special FRMs and NRMs and their generalizations......Page 238
2.5 Special FRE models and NRE models......Page 259
2.6 Some Programming Problems for Computer Experts......Page 264
FURTHER READING......Page 266
INDEX......Page 294
ABOUT THE AUTHORS......Page 302