Subdistributivity and superdistributivity of binary operations
Fuzzy Sets and Systems
Weak and graded properties of fuzzy relations in the context of aggregation process
Fuzzy Sets and Systems
Aggregation functions based on penalties
Fuzzy Sets and Systems
A syntactical approach to qualitative constraint networks merging
LPAR'10 Proceedings of the 17th international conference on Logic for programming, artificial intelligence, and reasoning
Concepts of generalized concavity based on aggregation functions
Fuzzy Sets and Systems
Cross-migrative triangular norms
International Journal of Intelligent Systems
Aggregation operators preserving quasiconvexity
Information Sciences: an International Journal
| Hi-index | 0.00 |
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.