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A New Approach Towards Intuitionistic Fuzzy Multisets

A New Approach Towards Intuitionistic Fuzzy Multisets
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Author(s): Pinaki Majumdar (M. U. C. Women's College, India)
Copyright: 2022
Volume: 11
Issue: 1
Pages: 10
Source title: International Journal of Fuzzy System Applications (IJFSA)
Editor(s)-in-Chief: Deng-Feng Li (School of Management and Economics, University of Electronic Science and Technology of China (UESTC))
DOI: 10.4018/IJFSA.285555

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Abstract

In this paper a new definition of Intuitionistic fuzzy multisets (IFMS) has been introduced. Algebraic operations on these intuitionistic fuzzy multisets are defined and their properties under these algebraic operations are studied. The author has also introduced a new notion of complement for an IFMS in which the complement of the original set is also an IFMS. The notion of distance and similarity between two IFMS’s has been defined and their properties have also been studied here. An application of IFMS in solving a medical diagnosis problem has been provided at the end.

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