Conditional distributivity of semi-t-operators over conjunctive uninormsnctive uninorms

Abstract

The conditional distributivity, that is distributivity equation with  additional restriction imposed on the domain of aggregation
operations, is an issue of interest for many different theoretical
and practical areas, special for integration theory and utility
theory. This paper presents new results  on this specific form of
distributivity for semi-t-operators  over conjunctive
uninorms.  Since the observed class  of uninorms is rather wide
and includes not only the continuous case, the presented research
is an extension  of some well-known results and provides wider
classes of solutions.