Lattice-valued overlap and quasi-overlap functions

Abstract As an important class of aggregation operators, the notion overlap functions was first presented in 2009 order to be considered for applications image processing context. Later, many other researches arised bringing some variations those different purposes. Here, our main goal is defining on lattices and discuss how a weakned version it, named quasi-overlaps, works when continuity eliminated from definition. Some properties quasi-overlaps lattices, namely convex sum, migrativity, homogeneity, idempotency cancellation law are investigated. Also, Finally, related as “Archimedean” “limiting” studied.