Some Properties of Operations in the Collection of Intuitionistic Fuzzy Sets : A Novel Approach

Authors

  • Dwi Nur Yunianti Brawijaya University
  • Noor Hidayat
  • Raden Sulaiman
  • Abdul Rouf Alghofari

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i4.4939

Keywords:

Intuitionistic fuzzy sets, Collection of intuitionistic fuzzy sets, Intersection, Union

Abstract

In this paper, we introduce collection of intuitionistic fuzzy sets as a new concept of intuitionistic fuzzy sets. In ordinary, universal set in intuitionistic fuzzy sets is classical set. So in this paper, we generalize the universal set as a collection or family of intuitionistic fuzzy sets. We also present intersection and union operation on collection of of intuitionistic fuzzy sets and show that the operations hold commutative, assosiative, idempotent, and De Morgan’s laws properties.

 

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Published

2023-10-30

How to Cite

Yunianti, D. N., Hidayat, N., Sulaiman, R., & Alghofari, A. R. (2023). Some Properties of Operations in the Collection of Intuitionistic Fuzzy Sets : A Novel Approach. European Journal of Pure and Applied Mathematics, 16(4), 2198–2207. https://doi.org/10.29020/nybg.ejpam.v16i4.4939

Issue

Vol. 16 No. 4: (October 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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