多群的线性丢番图模糊子集

IF 1 Q1 MATHEMATICS

Carpathian Mathematical Publications Pub Date : 2022-12-30 DOI:10.15330/cmp.14.2.564-581

M. Al Tahan, B. Davvaz, M. Parimala, S. Al-Kaseasbeh

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引用次数: 1

摘要

线性丢番图模糊集是模糊集的一种广义形式。本文的目的是通过多群揭示代数超结构与线性丢番图模糊集之间的关系。更准确地说，我们引入了多群的线性Diophantine模糊子多群、多群的线性Diophantine模糊正规子多群和多群的线性Diophantine反模糊子多群的概念。此外，我们研究了它们的一些性质，并将它们与水平集和上限集联系起来。

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Linear Diophantine fuzzy subsets of polygroups

Linear Diophantine fuzzy sets were recently introduced as a generalized form of fuzzy sets. The aim of this paper is to shed the light on the relationship between algebraic hyperstructures and linear Diophantine fuzzy sets through polygroups. More precisely, we introduce the concepts of linear Diophantine fuzzy subpolygroups of a polygroup, linear Diophantine fuzzy normal subpolygroups of a polygroup, and linear Diophantine anti-fuzzy subpolygroups of a polygroup. Furthermore, we study some of their properties and characterize them in relation to level and ceiling sets.

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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