Characterizations for union and intersection on non-normal membership functions of type-2 fuzzy sets

IF 3.2 3区计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

International Journal of Approximate Reasoning Pub Date : 2025-03-10 DOI:10.1016/j.ijar.2025.109414

Zhi-qiang Liu , Jingxin Liu

引用次数: 0

Abstract

In this work, we mainly investigate set operations for type-2 fuzzy sets. To be more exact, we present several algorithms under the left continuous t-norms that compute the join and meet operations of the non-normal convex secondary membership functions of type-2 fuzzy sets, and give some properties of operations that would enhance the application of fuzzy logic connectives. We anticipate that these algorithms can be applied to type-2 fuzzy logic systems as well as several fields of soft computing that tackle logical operations in type-2 fuzzy sets.

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在这项工作中，我们主要研究 2 型模糊集的集合运算。更确切地说，我们提出了几种左连续 t 准则下的算法，用于计算 2 型模糊集的非正态凸次成员函数的连接和相遇运算，并给出了一些运算属性，这些属性将增强模糊逻辑连接词的应用。我们预计，这些算法可应用于 2 型模糊逻辑系统以及处理 2 型模糊集逻辑运算的多个软计算领域。

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

International Journal of Approximate Reasoning 工程技术-计算机：人工智能

CiteScore

6.90

自引率

12.80%

发文量

170

审稿时长

67 days

期刊介绍： The International Journal of Approximate Reasoning is intended to serve as a forum for the treatment of imprecision and uncertainty in Artificial and Computational Intelligence, covering both the foundations of uncertainty theories, and the design of intelligent systems for scientific and engineering applications. It publishes high-quality research papers describing theoretical developments or innovative applications, as well as review articles on topics of general interest. Relevant topics include, but are not limited to, probabilistic reasoning and Bayesian networks, imprecise probabilities, random sets, belief functions (Dempster-Shafer theory), possibility theory, fuzzy sets, rough sets, decision theory, non-additive measures and integrals, qualitative reasoning about uncertainty, comparative probability orderings, game-theoretic probability, default reasoning, nonstandard logics, argumentation systems, inconsistency tolerant reasoning, elicitation techniques, philosophical foundations and psychological models of uncertain reasoning. Domains of application for uncertain reasoning systems include risk analysis and assessment, information retrieval and database design, information fusion, machine learning, data and web mining, computer vision, image and signal processing, intelligent data analysis, statistics, multi-agent systems, etc.