Distributivity laws for quasi-linear means

Document Type : Research Paper


1 Mathematical Institute of the Serbian Academy of Sciences and Arts, Kneza Mihaila 36, 11000 Belgrade, Serbia

2 Department of Mathematics and Informatics, University of Novi Sad, Trg D. Obradovica 4, 21000 Novi Sad, Serbia


Aggregation operations play a fundamental  role in a large number of disciplines, from mathematics and natural sciences to economics and social sciences. This paper is focused on  the problem of distributivity for some special classes  of aggregation operations, and quasi-linear means. Characterization of distributivity pairs for uninorms, semi-uninorms and associative a-CAOA vs quasi-linear means is given.