Characterizations of semigroups by their linear Diophantine anti-fuzzy bi-ideals

IF 1 Q1 MATHEMATICS

Carpathian Mathematical Publications Pub Date : 2024-05-24 DOI:10.15330/cmp.16.1.103-113

S. Al-Kaseasbeh, M. Al Tahan

引用次数: 0

Abstract

The purpose of this paper is to introduce linear Diophantine anti-fuzzification of algebraic structures. In this regard, we define linear Diophantine anti-fuzzy (LDAF) substructures of a semigroup and discuss some of its properties. Moreover, we characterize semigroups in terms of LDAF-ideals and LDAF-bi-ideals. Finally, we apply the linear Diophantine anti-fuzzification to groups and find a relationship between LDAF-subgroups of a group and its LDF-subgroups.

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通过线性 Diophantine 反模糊二边际描述半群的特征

本文旨在介绍代数结构的线性 Diophantine 反模糊化。为此，我们定义了半群的线性 Diophantine 反模糊（LDAF）子结构，并讨论了它的一些性质。此外，我们还用 LDAF-ideals 和 LDAF-bi-ideals 来描述半群的特征。最后，我们将线性戴奥芬反模糊化应用于群，并找到了群的 LDAF 子群与其 LDF 子群之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Carpathian Mathematical Publications MATHEMATICS-

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

25 weeks