Constructing overlap functions on bounded posets via multiplicative generators.

Overlap functions are an important class of aggregation operators on [0,1] that have been proposed for applications in image processing, classification, etc. Later, Paiva et al. lifted overlap functions on [0,1] to complete lattices. In this paper, we continue to study overlap functions on bounded posets so as to lift the continuity in the notion of overlap functions from [0,1] to bounded posets mainly from the topological aspects. More precisely, we introduce the notion of overlap functions on bounded posets. And then, we consider the multiplicative generator triples of overlap functions on bounded posets, and investigate constructions of overlap functions by multiplicative generator triples. [ABSTRACT FROM AUTHOR]