Fuzzy constructs

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

Fuzzy Sets and Systems Pub Date : 2025-08-26 DOI:10.1016/j.fss.2025.109572

Manuel S. Lazo-Cortés

引用次数: 0

Abstract

In Rough Set Theory, a construct is a subset of attributes with specific properties that make it of interest, for example, in data dimensionality reduction. The aim of this paper is to introduce a new type of construct inspired by Goldman fuzzy reducts. Both the concept of fuzziness in subsets of attributes, introduced by R. S. Goldman in 1980 within Testor Theory, and the construct notion, introduced by R. Susmaga in 2003, have been relatively understudied. In this work, we combine these two notions into a new concept: fuzzy constructs. Several of their characteristics are explored, and a toy example illustrates their potential use in a three-way decision-based classifier.

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模糊结构

在粗糙集理论中，构造是具有特定属性的属性子集，例如在数据降维中。本文的目的是引入一种受高盛模糊约简启发的新型构造。无论是1980年由R. S. Goldman在Testor理论中引入的属性子集模糊概念，还是2003年由R. Susmaga引入的构造概念，都得到了相对较少的研究。在这项工作中，我们将这两个概念结合成一个新的概念：模糊结构。探讨了它们的几个特征，并用一个简单的示例说明了它们在基于三向决策的分类器中的潜在用途。

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.