有序半群的线性 Diophantine 模糊子结构

IF 0.9 Q2 MATHEMATICS Afrika Matematika Pub Date : 2024-04-02 DOI:10.1007/s13370-024-01175-8

M. Al Tahan, S. Al-Kaseasbeh, B. Davvaz, P. Harikrishnan

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引用次数: 0

摘要

作为模糊集的一种扩展，线性 Diophantine 模糊集（LDFS）最近被提出。本文通过引入一些新的相关概念，将 LDFS 的概念应用于有序半群。更确切地说，我们研究了有序半群的 LDF-ideals 和 LDF-interior ideals，分别举例说明了它们的非难例，并介绍了它们的一些性质。最后，我们利用 LDFS 讨论了有序半群的简单性。

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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Linear Diophantine fuzzy substructures of ordered semigroups

As an extension of the fuzzy set, linear Diophantine fuzzy set (LDFS) was recently introduced. In this paper, we apply the concept of LDFS in ordered semigroups by introducing some new related concepts. More precisely, we study LDF-ideals and LDF-interior ideals of ordered semigroups, illustrate non-trivial examples on each, and present some of their properties. Finally, and using LDFS, we discuss the simplicity of an ordered semigroup.

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来源期刊

Afrika Matematika MATHEMATICS-

CiteScore

2.00

自引率

9.10%

发文量