Aggregation operators and commuting

被引：53
|
作者：
Saminger-Platz, Susanne [1 ]
Mesiar, Radko [2 ,3 ]
Dubois, Didier [4 ]
机构：
[1] Johannes Kepler Univ Linz, Dept Knowledge Based Math Syst, A-4040 Linz, Austria
[2] Slovak Univ Technol Bratislava, Dept Math & Descript Geometry, Fac Civil Engn, SK-81368 Bratislava, Slovakia
[3] Acad Sci Czech Republ, Inst Informat Theory & Automat, CR-18208 Prague, Czech Republic
[4] Univ Toulouse 3, IRIT, CNRS, F-31062 Toulouse, France
来源：
IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2007年 / 15卷 / 06期
关键词：
aggregation operators; bisymmetry; commuting; operators; consensus;
D O I：
10.1109/TFUZZ.2006.890687
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Commuting is an important property in any two-step information merging procedure where the results should not depend on the order in which the single steps are performed. We investigate the property of commuting for aggregation operators in connection with their relationship to bisymmetry. In case of bisymmetric aggregation operators we show a sufficient condition ensuring that two operators commute, while for bisymmetric aggregation operators with neutral element we even provide a full characterization of commuting n-ary operators by means of unary distributive functions. The case of associative operations, especially uninorms, is considered in detail.
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页码：1032 / 1045
页数：14
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