Divisible associative aggregation operations on finite chains

被引：0

作者：

Su, Y. ^{[1
]}

Mesiar, R. ^{[2
,3
]}

机构：

[1] Suzhou Univ Sci & Technol, Sch Math Sci, Suzhou 215009, Jiangsu, Peoples R China

[2] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math & Descript Geometry, Bratislava, Slovakia

[3] Univ Ostrava, Inst Res & Applicat Fuzzy Modelling, Ostrava 70103, Czech Republic

来源：

IRANIAN JOURNAL OF FUZZY SYSTEMS | 2023年 / 20卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Aggregation function; smoothness; divisibility; 1-Lipschitz property; intermediate-value property; OPERATORS;

D O I：

10.22111/IJFS.2023.44566.7845

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

There exist several versions of discrete counterpart of continuity in the framework of finite chains, e.g., the smoothness, the divisibility, intermediate-value property and the 1-Lipschitz property. In this paper, we first discuss the relationships among the smoothness, divisibility, intermediate-value property and 1-Lipschitz property. Second, we present complete characterizations of divisible associative aggregation operations on finite chains.

引用

页码：1 / 8

页数：8

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