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

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

doi:10.29020/nybg.ejpam.v16i4.4939

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

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

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2198-2207
Number of pages	10
Journal	European Journal of Pure and Applied Mathematics
Volume	16
Issue number	4
DOIs	https://doi.org/10.29020/nybg.ejpam.v16i4.4939
Publication status	Published - Oct 2023

Keywords

Collection of intuitionistic fuzzy sets
Intersection
Intuitionistic fuzzy sets
Union

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10.29020/nybg.ejpam.v16i4.4939

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KW - Intersection

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KW - Union

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

Abstract

Keywords

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