Notes on “Minimization of hesitant L-fuzzy automaton”

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

Fuzzy Sets and Systems Pub Date : 2025-04-08 DOI:10.1016/j.fss.2025.109403

Jingpu Chang , Bao Qing Hu , Heng Liu

引用次数: 0

Abstract

Shamsizadeh et al. presented the concept of the hesitant L-fuzzy automaton and studied it, and then gave the minimization of hesitant L-fuzzy automaton. Unfortunately, there are some defects in some concepts and results. For example, the truth values of hesitant L-fuzzy automaton do not remove the empty set and the hesitant L-fuzzy sets values should are restricted to the sublattices in the logic operations on hesitant fuzzy sets, and the proofs on complete accessible of minimal hesitant L-fuzzy automaton are wrong etc. Therefore, we have revised these concepts and conclusions to make up for the deficiencies.

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关于“犹豫l -模糊自动机的最小化”的注释

Shamsizadeh等人提出了犹豫l -模糊自动机的概念并对其进行了研究，然后给出了犹豫l -模糊自动机的最小化。遗憾的是，在一些概念和结果上存在一些缺陷。例如，在对犹豫型模糊集进行逻辑运算时，犹豫型l -模糊自动机的真值不能去除空集、犹豫型l -模糊自动机的值应限制在子格内、最小犹豫型l -模糊自动机的完全可达性证明错误等。因此，我们对这些概念和结论进行了修订，以弥补不足。

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.