Super Fuzzy Matrices and Super Fuzzy Models for Social Scientists

Special Fuzzy Matrices for Social Scientists

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 Neutorosophic analogues (simultaneous or otherwise, according to ones need). Using the six basic models, we have constructed a multi-expert multi-model called the 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 with…

Elementary fuzzy matrix theory and fuzzy models for social scientists

This book gives the basic notions of fuzzy matrix theory and its applications to simple fuzzy models. The approach is non-traditional in order to attract many students to use this methodology in their research. The traditional approach of mathematicians has conditioned students of sociology in such a manner that they are averse to using mathematical tools. Six simple types of fuzzy models that make use of fuzzy matrices are given. These models are distinct because they are time-dependent and can even be used for statistical data. The Fuzzy Cognitive Maps models gives the hidden pattern. Fuzzy …

Reservation for Other Backward Classes in Indian Central Government Institutions like IITs, IIMs and AIIMs- A Study of the Role of Media using Fuzzy Super FRM models

In this book the authors introduce three new types of fuzzy model called the super column Fuzzy Relational Model using super column matrices, super row fuzzy relational model using super row matrices and super mixed fuzzy relational model using supermatrices. These new models are used to study the role of media on 27 percent reservation for the other backward classes in the educational institutions run by the Indian central Government. This book has four chapters. Chapter one introduces the new notion of super fuzzy relational models using supermatrices. In chapter two these new models are use…

从可加测度生成模糊测度

Generating fuzzy measures from additive measures

本文利用仅含 $n$ 个系数的可加测度生成具有 $2^n$ 个系数的多类模糊测度，并通过允许范围调整和随机游走降低冗余、增强随机性或均匀性。

Algebraic Structures Using Super Interval Matrices

In this book super interval matrices using the special type of intervals of the form [0, a] are introduced. Several algebraic structures like semigroups, groups, semirings, rings, semivector spaces and vector spaces are introduced. Special fuzzy linear algebras are introduced using the concept of super fuzzy interval matrices.

Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps

In this book we study the concepts of Fuzzy Cognitive Maps (FCMs) and their Neutrosophic analogue, the Neutrosophic Cognitive Maps (NCMs).Fuzzy Cognitive Maps are fuzzy structures that strongly resemble neural networks, and they have powerful and far-reaching consequences as a mathematical tool for modeling complex systems. Neutrosophic Cognitive Maps are generalizations of FCMs, and their unique feature is the ability to handle indeterminacy in relations between two concepts thereby bringing greater sensitivity into the results. Some of the varied applications of FCMs and NCMs which has been …