多网格中的模糊素数滤波定理

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems Pub Date : 2024-10-09 DOI:10.1016/j.fss.2024.109148

Luc Éméry Diékouam Fotso , Carole Pierre Kengne , Daquin Cédric Awouafack

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引用次数: 0

摘要

本文主要关注建立多网格的模糊素数滤波定理。首先，我们介绍了由多网格的模糊子集生成的模糊滤波器的概念，并给出了其特征。同时，我们定义了四种类型的模糊素滤波器，并建立了它们之间的一些关系。最后，我们阐述并证明了分布式多网格中的模糊素数过滤器定理。

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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Fuzzy prime filter theorem in multilattices

This paper mainly focuses on building the fuzzy prime filter theorem for multilattices. Firstly, we introduce the notion of a fuzzy filter generated by a fuzzy subset of a multilattice and we give a characterization. Also, we define four types of fuzzy prime filters and establish some relationships between them. Finally, we state and prove the fuzzy prime filter theorem in distributive multilattices.

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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.