$$(\lambda,\mu)$-fuzzy interior ideals of ordered $\Gamma$-semigroups$

$(\lambda,\mu)$-fuzzy interior ideals of ordered $\Gamma$-semigroups

For all $\lambda,\mu\in [0,1]$ such that $\lambda<\mu$, we first introduced the definitions of $(\lambda,\mu)$-fuzzy ideals and $(\lambda,\mu)$-fuzzy interior ideals of an ordered $\Gamma$-semigroup. Then we proved that in regular and in intra-regular ordered semigroups the \((\lamb...

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Datum:	2018
Hauptverfasser:	Feng, Yuming, Corsini, P.
Format:	Artikel
Sprache:	English
Veröffentlicht:	Lugansk National Taras Shevchenko University 2018
Schlagworte:	$\Gamma$-semigroup $(\lambda,\mu)$-fuzzy interior ideal $(\lambda,\mu)$-fuzzy simple regular ordered $\Gamma$-semigroup intra-regular ordered $\Gamma$-semigroup
Online Zugang:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/755
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Назва журналу:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

id	admjournalluguniveduua-article-755
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spelling	admjournalluguniveduua-article-7552018-04-26T01:26:05Z $(\lambda,\mu)$-fuzzy interior ideals of ordered $\Gamma$-semigroups Feng, Yuming Corsini, P. $\Gamma$-semigroup; $(\lambda,\mu)$-fuzzy interior ideal; $(\lambda,\mu)$-fuzzy simple; regular ordered $\Gamma$-semigroup; intra-regular ordered $\Gamma$-semigroup For all $\lambda,\mu\in [0,1]$ such that $\lambda<\mu$, we first introduced the definitions of $(\lambda,\mu)$-fuzzy ideals and $(\lambda,\mu)$-fuzzy interior ideals of an ordered $\Gamma$-semigroup. Then we proved that in regular and in intra-regular ordered semigroups the $(\lambda,\mu)$-fuzzy ideals and the $(\lambda,\mu)$-fuzzy interior ideals coincide. Lastly, we introduced the concept of a $(\lambda,\mu)$-fuzzy simple ordered $\Gamma$-semigroup and characterized the simple ordered $\Gamma$-semigroups in terms of $(\lambda,\mu)$-fuzzy interior ideals. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/755 Algebra and Discrete Mathematics; Vol 16, No 1 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/755/284 Copyright (c) 2018 Algebra and Discrete Mathematics
institution	Algebra and Discrete Mathematics
baseUrl_str
datestamp_date	2018-04-26T01:26:05Z
collection	OJS
language	English
topic	$\Gamma$-semigroup $(\lambda,\mu)$-fuzzy interior ideal $(\lambda,\mu)$-fuzzy simple regular ordered $\Gamma$-semigroup intra-regular ordered $\Gamma$-semigroup
spellingShingle	$\Gamma$-semigroup $(\lambda,\mu)$-fuzzy interior ideal $(\lambda,\mu)$-fuzzy simple regular ordered $\Gamma$-semigroup intra-regular ordered $\Gamma$-semigroup Feng, Yuming Corsini, P. $(\lambda,\mu)$-fuzzy interior ideals of ordered $\Gamma$-semigroups
topic_facet	$\Gamma$-semigroup $(\lambda,\mu)$-fuzzy interior ideal $(\lambda,\mu)$-fuzzy simple regular ordered $\Gamma$-semigroup intra-regular ordered $\Gamma$-semigroup
format	Article
author	Feng, Yuming Corsini, P.
author_facet	Feng, Yuming Corsini, P.
author_sort	Feng, Yuming
title	$(\lambda,\mu)$-fuzzy interior ideals of ordered $\Gamma$-semigroups
title_short	$(\lambda,\mu)$-fuzzy interior ideals of ordered $\Gamma$-semigroups
title_full	$(\lambda,\mu)$-fuzzy interior ideals of ordered $\Gamma$-semigroups
title_fullStr	$(\lambda,\mu)$-fuzzy interior ideals of ordered $\Gamma$-semigroups
title_full_unstemmed	$(\lambda,\mu)$-fuzzy interior ideals of ordered $\Gamma$-semigroups
title_sort	$(\lambda,\mu)$-fuzzy interior ideals of ordered $\gamma$-semigroups
description	For all $\lambda,\mu\in [0,1]$ such that $\lambda<\mu$, we first introduced the definitions of $(\lambda,\mu)$-fuzzy ideals and $(\lambda,\mu)$-fuzzy interior ideals of an ordered $\Gamma$-semigroup. Then we proved that in regular and in intra-regular ordered semigroups the $(\lambda,\mu)$-fuzzy ideals and the $(\lambda,\mu)$-fuzzy interior ideals coincide. Lastly, we introduced the concept of a $(\lambda,\mu)$-fuzzy simple ordered $\Gamma$-semigroup and characterized the simple ordered $\Gamma$-semigroups in terms of $(\lambda,\mu)$-fuzzy interior ideals.
publisher	Lugansk National Taras Shevchenko University
publishDate	2018
url	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/755
work_keys_str_mv	AT fengyuming lambdamufuzzyinterioridealsoforderedgammasemigroups AT corsinip lambdamufuzzyinterioridealsoforderedgammasemigroups
first_indexed	2025-12-02T15:27:45Z
last_indexed	2025-12-02T15:27:45Z
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\((\lambda,\mu)\)-fuzzy interior ideals of ordered \(\Gamma\)-semigroups

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