Generalizing Fung-Fu's theorem

被引：0
|
作者：
Su, Yan [1 ]
Su, Yong [1 ]
Mesiar, Radko [2 ,3 ]
机构：
[1] Suzhou Univ Sci & Technol, Sch Math Sci, Suzhou 215009, Jiangsu, Peoples R China
[2] Univ Ostrava, Inst Res & Applicat Fuzzy Modelling, Ostrava 70103, Czech Republic
[3] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math & Descript Geometry, Bratislava, Slovakia
来源：
FUZZY SETS AND SYSTEMS | 2023年 / 465卷
基金：
中国国家自然科学基金;
关键词：
Aggregation operation; Associativity; Continuity; AGGREGATION; OPERATORS;
D O I：
10.1016/j.fss.2023.108576
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
A connected order topological space, which is much simper than a real interval, is considered for the assignment problem of a rational aggregation by Fung and Fu, and they described the structure of an idempotent, commutative, associative, increasing and continuous binary operation on such a space. Fodor extended Fung-Fu's result to the non-commutative case. The aim of the present paper is to generalize Fodor's result to the non-idempotent case. & COPY; 2023 Elsevier B.V. All rights reserved.
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