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 elim...

A class of interval-valued OWA operators can be constructed from overlap functions with weights, which plays an important role in solving multi-attribute decision making (MADM) problems considering interval numbers as attribute values. Among them, when the importance multiple attributes is different, it only calculated by changing weights. In fact, we directly abandon commutativity and extend (...