A new characterization of fuzzy ideals of semigroups and its applications

In this paper, we develop a new technique for constructing fuzzy ideals of a semigroup. By using generalized Green's relations, fuzzy star ideals are constructed. It is shown that the new fuzzy ideal of a semigroup can be used to investigate the relationship between fuzzy sets and abundance and...

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Autores principales:	Chunhua Li, Baogen Xu, Huawei Huang
Formato:	article
Lenguaje:	EN
Publicado:	Taylor & Francis Group 2021
Materias:	fuzzy sets fuzzy star ideals abundant semigroups abundance regularity Control engineering systems. Automatic machinery (General) TJ212-225 Automation T59.5
Acceso en línea:	https://doaj.org/article/951cb0cf433f4bb69525531ea3f3422e
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id	oai:doaj.org-article:951cb0cf433f4bb69525531ea3f3422e
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spelling	oai:doaj.org-article:951cb0cf433f4bb69525531ea3f3422e2021-11-04T15:00:41ZA new characterization of fuzzy ideals of semigroups and its applications0005-11441848-338010.1080/00051144.2021.1982239https://doaj.org/article/951cb0cf433f4bb69525531ea3f3422e2021-10-01T00:00:00Zhttp://dx.doi.org/10.1080/00051144.2021.1982239https://doaj.org/toc/0005-1144https://doaj.org/toc/1848-3380In this paper, we develop a new technique for constructing fuzzy ideals of a semigroup. By using generalized Green's relations, fuzzy star ideals are constructed. It is shown that the new fuzzy ideal of a semigroup can be used to investigate the relationship between fuzzy sets and abundance and regularity for an arbitrary semigroup. Appropriate examples of such fuzzy ideals are given in order to illustrate the technique. Finally, we explain when a semigroup satisfies conditions of regularity.Chunhua LiBaogen XuHuawei HuangTaylor & Francis Grouparticlefuzzy setsfuzzy star idealsabundant semigroupsabundanceregularityControl engineering systems. Automatic machinery (General)TJ212-225AutomationT59.5ENAutomatika, Vol 62, Iss 3-4, Pp 407-414 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fuzzy sets fuzzy star ideals abundant semigroups abundance regularity Control engineering systems. Automatic machinery (General) TJ212-225 Automation T59.5
spellingShingle	fuzzy sets fuzzy star ideals abundant semigroups abundance regularity Control engineering systems. Automatic machinery (General) TJ212-225 Automation T59.5 Chunhua Li Baogen Xu Huawei Huang A new characterization of fuzzy ideals of semigroups and its applications
description	In this paper, we develop a new technique for constructing fuzzy ideals of a semigroup. By using generalized Green's relations, fuzzy star ideals are constructed. It is shown that the new fuzzy ideal of a semigroup can be used to investigate the relationship between fuzzy sets and abundance and regularity for an arbitrary semigroup. Appropriate examples of such fuzzy ideals are given in order to illustrate the technique. Finally, we explain when a semigroup satisfies conditions of regularity.
format	article
author	Chunhua Li Baogen Xu Huawei Huang
author_facet	Chunhua Li Baogen Xu Huawei Huang
author_sort	Chunhua Li
title	A new characterization of fuzzy ideals of semigroups and its applications
title_short	A new characterization of fuzzy ideals of semigroups and its applications
title_full	A new characterization of fuzzy ideals of semigroups and its applications
title_fullStr	A new characterization of fuzzy ideals of semigroups and its applications
title_full_unstemmed	A new characterization of fuzzy ideals of semigroups and its applications
title_sort	new characterization of fuzzy ideals of semigroups and its applications
publisher	Taylor & Francis Group
publishDate	2021
url	https://doaj.org/article/951cb0cf433f4bb69525531ea3f3422e
work_keys_str_mv	AT chunhuali anewcharacterizationoffuzzyidealsofsemigroupsanditsapplications AT baogenxu anewcharacterizationoffuzzyidealsofsemigroupsanditsapplications AT huaweihuang anewcharacterizationoffuzzyidealsofsemigroupsanditsapplications AT chunhuali newcharacterizationoffuzzyidealsofsemigroupsanditsapplications AT baogenxu newcharacterizationoffuzzyidealsofsemigroupsanditsapplications AT huaweihuang newcharacterizationoffuzzyidealsofsemigroupsanditsapplications
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A new characterization of fuzzy ideals of semigroups and its applications

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