Fuzzy S-hypersystems over fuzzy semihypergroups

IF 2.7 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems Pub Date : 2025-09-23 DOI:10.1016/j.fss.2025.109604

Pingting Ma , Husheng Qiao

引用次数: 0

Abstract

Let S be a fuzzy semihypergroup. We introduce the notions of fuzzy S-hypersystems over fuzzy semihypergroups and study their elementary properties. We improve fuzzy regular relations and fuzzy strongly regular relations. The fuzzy hyper versions of the fundamental normal homomorphism theorems are obtained, and product and coproduct of fuzzy S-hypersystems are discussed. In addition, we derive some results on crisp S-hypersystems and semihypergroup.

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模糊半超群上的模糊s超系统

设S是一个模糊半超群。引入模糊半超群上的模糊s -超系统的概念，研究了它们的初等性质。改进了模糊正则关系和模糊强正则关系。得到了基本正规同态定理的模糊超版本，讨论了模糊s -超系统的乘积和余积。此外，我们还得到了关于脆s超系统和半超群的一些结果。

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

Fuzzy Sets and Systems 数学-计算机：理论方法

CiteScore

6.50

自引率

17.90%

发文量

321

审稿时长

6.1 months

期刊介绍： Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies. In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.