From type-(2,k) grouping indices to type-(2,k) Jaccard indices

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

Fuzzy Sets and Systems Pub Date : 2024-11-22 DOI:10.1016/j.fss.2024.109216

Antonio Francisco Roldán López de Hierro , Concepción Roldán , Carlos Guerra , Javier Fernández , Anderson Cruz , Ronei Marcos de Moraes , Humberto Bustince

引用次数: 0

Abstract

In this work, we introduce the notion of grouping index for type-2 fuzzy sets as a measure of how far the union of two type-2 fuzzy sets over the same universe is from the total universe. We also show how we can extend the notion of the Jaccard index to the type-2 setting by means of type-2 grouping and overlap indexes.

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从类型-(2,k) 分组指数到类型-(2,k) Jaccard 指数

在这项研究中，我们引入了 2 型模糊集的分组指数概念，以此来衡量同一宇宙中两个 2 型模糊集的结合与总宇宙的距离。我们还展示了如何通过类型-2 分组指数和重叠指数将 Jaccard 指数的概念扩展到类型-2 环境中。

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.