⁎-betweenness induced by fuzzy metrics

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

Fuzzy Sets and Systems Pub Date : 2024-12-24 DOI:10.1016/j.fss.2024.109254

Zhenyu Jin , Conghua Yan

引用次数: 0

Abstract

Motivated by Zhang et al. [28], [38], [39], we aim to make a further discussion of ⁎-betweenness relations. In this paper, we provide the method to construct the ⁎-betweenness by GV fuzzy metrics. After considering the description of ⁎-equivalence with respect to strong fuzzy metrics, we investigate the construction of ⁎-E-betweenness. Some properties of ⁎-betweenness and ⁎-E-betweenness are discussed and some conclusions or conditions in [28] are verified. This paper is also a supplement of [28]. Finally, the relationship between fuzzifying convex structures and ⁎-betweenness relations has been studied.

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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.