Characterizations of generalized fuzzy ideals in ordered semigroups

被引：0

作者：

Davvaz, Bijan ^{[1
]}

Chinram, Ronnason ^{[2
]}

Lekkoksung, Somsak ^{[3
]}

Lekkoksung, Nareupanat ^{[3
]}

机构：

[1] Yazd Univ, Dept Math, Yazd, Iran

[2] Prince Songkla Univ, Div Computat Sci, Fac Sci, Hat Yai, Thailand

[3] Rajamangala Univ Technol Isan, Div Math, Fac Engn, Khon Kaen Campus, Khon Kaen, Thailand

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2023年 / 45卷 / 02期

关键词：

Ordered semigroup; (alpha; beta)-fuzzy; (m; n)-ideal; beta)-fuzzy n-ideal; bi-ideal; interior-ideal; INTERIOR IDEALS; BI-IDEALS; TERMS; N)-IDEALS; (M; (IS-AN-ELEMENT-OF; REGULARITIES;

D O I：

10.3233/JIFS-224255

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Ideals play an essential part in studying ordered semigroups. There are several generalizations of ideals that are used to investigate ordered semigroups. It is known that (m, n)-ideals are an abstraction of bi-ideals, and n-interior ideals are an abstraction of interior ideals. This paper introduces a generality of (m, n)-ideals and n-interior ideals, so-called (alpha, beta)-fuzzy (m, n)-ideals and (alpha, beta)-fuzzy n-interior ideals. Furthermore, we discuss our current notions with those that already exist. We examine connections between (m, n)- (resp., n-interior) ideals and (alpha, beta)-fuzzy (m, n)- (resp., n-interior) ideals. A characterization of (alpha, beta)-fuzzy (m, n)- (resp., n-interior) ideals, by a particular product, in ordered semigroups is provided. We demonstrate that our results generalize the known results through specific settings.

引用

页码：2367 / 2380

页数：14

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