An (α,β)-Hesitant Fuzzy Set Approach to Ideal Theory in Semigroups

Yiarayong, Pairote

dc.contributor.author	Yiarayong, Pairote
dc.date.accessioned	2022-11-07T14:09:18Z
dc.date.available	2022-11-07T14:09:18Z
dc.date.issued	2022-09-14
dc.identifier.issn	0138-0680
dc.identifier.uri	http://hdl.handle.net/11089/44040
dc.description.abstract	The aim of this manuscript is to introduce the \((\alpha,\beta)\)-hesitant fuzzy set and apply it to semigroups. In this paper, as a generalization of the concept of hesitant fuzzy sets to semigroup theory, the concept of \((\alpha,\beta)\)-hesitant fuzzy subsemigroups of semigroups is introduced, and related properties are discussed. Furthermore, we define and study \((\alpha,\beta)\)-hesitant fuzzy ideals on semigroups. In particular, we investigate the structure of \((\alpha,\beta)\)-hesitant fuzzy ideal generated by a hesitant fuzzy ideal in a semigroup. In addition, we also introduce the concepts of \((\alpha,\beta)\)-hesitant fuzzy semiprime sets of semigroups, and characterize regular semigroups in terms of \((\alpha,\beta)\)-hesitant fuzzy left ideals and \((\alpha,\beta)\)-hesitant fuzzy right ideals. Finally, several characterizations of regular and intra-regular semigroups by the properties of \((\alpha,\beta)\)-hesitant ideals are given.	en
dc.language.iso	en
dc.publisher	Wydawnictwo Uniwersytetu Łódzkiego	pl
dc.relation.ispartofseries	Bulletin of the Section of Logic;3	en
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject	\({}^\alpha\)-hesitant (\({}_\alpha\)-hesitant) fuzzy set	en
dc.subject	\((\alpha,\beta)\)-hesitant fuzzy semigroup	en
dc.subject	\((\alpha,\beta)\)-hesitant fuzzy ideal	en
dc.subject	\((\alpha,\beta)\)-hesitant fuzzy semiprime set	en
dc.subject	regular semigroup	en
dc.title	An (α,β)-Hesitant Fuzzy Set Approach to Ideal Theory in Semigroups	en
dc.type	Other
dc.page.number	383-409
dc.contributor.authorAffiliation	Pibulsongkram Rajabhat University, Department of Mathematics, Faculty of Science and Technology, Phitsanulok 65000, Thailand	en
dc.identifier.eissn	2449-836X
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dc.contributor.authorEmail	pairote0027@hotmail.com
dc.identifier.doi	10.18778/0138-0680.2022.13
dc.relation.volume	51