A hesitant fuzzy set approach to ideal theory in \(\Gamma\)-semigroups
type: Item
instance of: scholarly article
title: A hesitant fuzzy set approach to ideal theory in \(\Gamma\)-semigroups
zbMATH Open document ID: 1406.20070
DOI: 10.1155/2018/5738024
author: M. Y. Abbasi
author: Aakif F. Talee
author: Sabahat A. Khan
author: Kostaq Hila
published in: Advances in Fuzzy Systems
publication date: 2019-03-14T00:00:00Z
review text: Summary: We apply the hesitant fuzzy sets theory to \(\Gamma\)-semigroups and provide some characterizations of hesitant fuzzy left (right and bi-) ideals. We introduce the hesitant fuzzy left (resp., right and two-sided) ideal, hesitant fuzzy bi-ideal, and hesitant fuzzy interior ideal in \(\Gamma\)-semigroup and study some properties of them. Finally, a characterization of a simple \(\Gamma\)-semigroup by means of a hesitant fuzzy simple \(\Gamma\)-semigroup is obtained.
Mathematics Subject Classification ID: 20N25
Mathematics Subject Classification ID: 20M99
Mathematics Subject Classification ID: 20M12
zbMATH DE Number: 7036015
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5738024
OpenAlex ID: W2889423194
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description: scientific article; zbMATH DE number 7036015