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

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Dwi Nur Yunianti, Noor Hidayat, Raden Sulaiman, Abdul Rouf Alghofari

2023 European Journal of Pure and Applied Mathematics Vol. 16 Issue 4 Article Cited by 2 Quartile

Abstract

In this paper, we introduce collection of intuitionistic fuzzy sets as a developing and expanding intuitionistic fuzzy theory. A collection of intuitionistic fuzzy sets is a set whose members of the universe set are intuitionistic fuzzy sets. We present intersection and union operation in the collection of of intuitionistic fuzzy sets and show that the operations hold commutative, assosiative, idempotent, and De Morgan's laws properties. © 2023 EJPAM.

Affiliations

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University, East Java, Malang, Indonesia; Department of Mathematics, Faculty of Mathematics and Science, State University of Surabaya, East Java, Surabaya, Indonesia