Commuting aggregation operators

We will investigate so-called commuting operators and their relationship to bisymmetry and domination. In the case of bisymmetric aggregation operators we will show a sufficient condition ensuring that two operators commute, while for bisymmetric aggregation operators with neutral element we will even give a full characterization of commuting n-ary operators by means of unary commuting operators.

• Type: Conference
• Year: 2003
• Where: EUSFLAT
• Authors: Radko Mesiar, Susanne Saminger
• Keywords: Bisymmetric Aggregation Operators, Commuting Operators, EUSFLAT 2003, EUSFLAT 2007, So-called Commuting Operators