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Fuzzy interval matrices, neutrosophic interval matrices and their applications. (English) Zbl 1104.65046

Phoenix, AZ: Hexis (ISBN 1-59973-003-0/pbk). 303 p. (2006).
Preface: The new concept of fuzzy interval matrices is introduced in this book for the first time. The authors not only introduce the notion of fuzzy interval matrices, interval neutrosophic matrices and fuzzy neutrosophic interval matrices but also demonstrate some of its applications when the data under study is an unsupervised one and when several experts analyze the problem.
Further, the authors introduce in this book multiexpert models using these three new types of interval matrices. The new multiexpert models dealt with in this book are FCIMs, FRIMs, FCInMs, FRInMs, IBAMs, IBBAMs, nIBAMs, FAIMs, FAnIMS, etc. Illustrative examples are given so that the reader can follow these concepts easily.
This book has three chapters. The first chapter is introductory in nature and makes the book a self-contained one. Chapter two introduces the concept of fuzzy interval matrices. Also the notion of fuzzy interval matrices, neutrosophic interval matrices and fuzzy neutrosophic interval matrices, can find applications to Markov chains and Leontief economic models. Chapter three gives the application of fuzzy interval matrices and neutrosophic interval matrices to real-world problems by constructing the models already mentioned. Further these models are mainly useful when the data is an unsupervised one and when one needs a multi-expert model. The new concept of fuzzy interval matrices and neutrosophic interval matrices will find their applications in engineering, medical, industrial, social and psychological problems. We give a long list of references to help the interested reader.

MSC:

65G30 Interval and finite arithmetic
65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis
15-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra
15B33 Matrices over special rings (quaternions, finite fields, etc.)
08A72 Fuzzy algebraic structures
68T35 Theory of languages and software systems (knowledge-based systems, expert systems, etc.) for artificial intelligence
60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
91B60 Trade models
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