Intuitionistic Fuzzy Soft Γ-Semigroup

Iqrar Ali Pali; Muhammad Afzal Soomro; Abdul Ghafoor Shaikh; A  H  Sheikh and I  A  Kanhio

doi:10.17485/ijst/2019/v12i33/146378

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2019/v12i33/146378

Year: 2019, Volume: 12, Issue: 33, Pages: 1-6

Original Article

Intuitionistic Fuzzy Soft Γ-Semigroup

Iqrar Ali Pali^*, Muhammad Afzal Soomro, Abdul Ghafoor Shaikh, A. H. Sheikh and I. A. Kanhio

Department of Mathematics and Statistics, QUEST, Nawabshah, Sindh, Pakistan; [email protected], [email protected], [email protected], [email protected], [email protected]

*Author for correspondence
Iqrar Ali Pali
Department of Mathematics and Statistics, QUEST, Nawabshah, Sindh, Pakistan; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: This study deals with the algebraic structure intuitionistic fuzzy soft (IFS) Г-semi group is defined that is a natural extension of IFS semi group and fuzzy soft Г-semi groups. The notion of IFS Г-ideals over Г-semi groups are introduced. Also, the basic concepts of the ideals are studied. Methods: Using approaches given in IFS semi groups to enlarge fuzzy soft Г-semi groups offer the required algebraic structure. Findings: The ideaI F Ssoft Г-semi group is the natural consequence of viewing collectively the IFSsemigroup and fuzzy soft Г-semi groups. Applications: Fuzzy soft set theory, IF set theory, etcetera are well celebrated mathematical concepts handling the uncertainties in the fields of engineering, economy, social science.

Keywords: Fuzzy Set, Intuitionistic Fuzzy Soft Set, Soft Set, Γ-Semi Group