Fuzzy Interval Matrices, Neutrosophic Interval Matrices and their Applications

TL;DR

This paper introduces fuzzy interval matrices, neutrosophic interval matrices, and their multi-expert models, demonstrating their applications in unsupervised data analysis and various real-world fields.

Contribution

It presents the first introduction of fuzzy interval matrices and neutrosophic interval matrices, along with new multi-expert models and applications in diverse domains.

Findings

Introduced fuzzy interval matrices and neutrosophic interval matrices.

Developed multi-expert models using these matrices.

Applied models to real-world problems in engineering, medical, and social fields.

Abstract

The new concept of fuzzy interval matrices has been introduced in this book for the first time. The authors have not only introduced the notion of fuzzy interval matrices, interval neutrosophic matrices and fuzzy neutrosophic interval matrices but have also demonstrated some of its applications when the data under study is an unsupervised one and when several experts analyze the problem. Further, the authors have introduced in this book multiexpert models using these three new types of interval matrices. The new multi expert models dealt 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 have given a long list of references to help the interested reader.