Distributivity laws for quasi-linear means

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.

Keywords:

uninorms , semi-uninorms , T-uninorms , S-uninorms , bi-uninorms , semi-t-operators