Interval-valued pre-(quasi-)grouping functions and its application in constructing interval-valued directional monotonic fuzzy implications

IF 1.7 4区计算机科学 Q3 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Journal of Intelligent & Fuzzy Systems Pub Date : 2024-02-16 DOI:10.3233/jifs-233318

Peng Yu, Huxiong Song, Hui Liu

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引用次数: 0

Abstract

How to expand the variable domain and monotonicity of aggregation functions to generate new aggregation functions is an important research content in aggregation functions. In this work, the concept of interval-valued pre-(quasi-)grouping functions is given by relaxing the interval monotonicity ofinterval-valued (quasi-)grouping functions to interval directional monotonicity. Then, some basic properties of interval-valued pre-(quasi-)grouping functions and the relationship between interval-valued pre-(quasi-)grouping functions and pre-(quasi-)grouping functions are presented. Accordingly, several construction methods of interval-valued pre-(quasi-)grouping functions are proposed. Finally, the concept of (IG,IN) -interval-valued directional monotonic fuzzy implications and QL -interval-valued directional monotonic operations are introduced on the basis of interval-valued pre-(quasi-)grouping functions IG , interval-valued overlap functions IO and interval-valued fuzzy negations IN. In addition, related studies were conducted on the basic properties of (IG,IN) -interval-valued directional monotonic fuzzy implications and QL -interval-valued directional monotonic operations.

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区间值预（准）分组函数及其在构建区间值定向单调模糊蕴涵中的应用

如何扩展聚合函数的变域和单调性以生成新的聚合函数，是聚合函数的一个重要研究内容。本文通过将区间值前（准）分组函数的区间单调性放宽为区间方向单调性，给出了区间值前（准）分组函数的概念。然后，介绍了区间值预（准）分组函数的一些基本性质以及区间值预（准）分组函数与预（准）分组函数之间的关系。相应地，提出了几种区间值前（准）分组函数的构造方法。最后，在区间值前（准）分组函数 IG、区间值重叠函数 IO 和区间值模糊否定 IN 的基础上，引入了 (IG,IN) -区间值定向单调模糊蕴涵和 QL -区间值定向单调运算的概念。此外，还对（IG,IN）-区间值方向单调模糊蕴涵和 QL-区间值方向单调运算的基本性质进行了相关研究。

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来源期刊

Journal of Intelligent & Fuzzy Systems 工程技术-计算机：人工智能

CiteScore

3.40

自引率

10.00%

发文量

965

审稿时长

5.1 months

期刊介绍： The purpose of the Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology is to foster advancements of knowledge and help disseminate results concerning recent applications and case studies in the areas of fuzzy logic, intelligent systems, and web-based applications among working professionals and professionals in education and research, covering a broad cross-section of technical disciplines.