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Introduction to Intuitionistic Fuzzy Multisets and Its Applications

Introduction to Intuitionistic Fuzzy Multisets and Its Applications
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Author(s): T. K. Shinoj (National Institute of Technology Calicut, India)and Sunil Jacob John (National Institute of Technology Calicut, India)
Copyright: 2016
Pages: 10
Source title: Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing
Source Author(s)/Editor(s): Sunil Jacob John (National Institute of Technology Calicut, India)
DOI: 10.4018/978-1-4666-9798-0.ch003

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Abstract

In this chapter a new concept named Intuitionistic Fuzzy Multiset is introduced, which is an attempt to combine the two concepts: Intuitionistic Fuzzy sets and Fuzzy Multisets. The basic operations and their various properties are discussed. The authors discussed two significant applications of Intuitionistic Fuzzy Multisets. Most of human reasoning involves the use of variables whose values are fuzzy sets. This is the basis for the concept of a linguistic variable. But in some situations like decision making problems, the description by a linguistic variable in terms of membership function only is not adequate. There is chance of existing a non-null complement. There are situations that each element has different membership values. In such situations Intuitionistic Fuzzy Multisets is more adequate. Here the authors present Intuitionistic Fuzzy Multisets as a tool for reasoning such a situation through a medical diagnosis problem. As the second application, accuracy of Collaborative Robots using the concept of Intuitionistic Fuzzy Multiset is discussed.

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