Divisible associative aggregation operations on finite chains

被引：0
|
作者：
Su, Y. [1 ]
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
收藏
页码：1 / 8
页数：8
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