On aggregation operators and utility functions with truncation property

Abstract

Aggregation operators form a vast class of mathematical tools that are highly applicable in modelling decision-making processes. Of special interest are aggre- gation operators with an annihilator, i.e., with an absorbing element, since they can be applicable in modelling situations involving participants with the power of veto. This paper presents an overview of results that consider the conditional distributivity of such operators, namely T -uninorms and nullnorms, over t-conorms and an analysis of the role of obtained distributive pairs in constructions of utility functions with a truncation property.