Aggregation functions on bounded partially ordered sets and their classification

Authors:
Magda Komorníková;Radko Mesiar
Affiliations:
Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 813 68 Bratislava, Slovakia;Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 813 68 Bratislava, Slovakia
Venue:
Fuzzy Sets and Systems
Year:
2011

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Abstract

Several classes of aggregation functions on bounded partially ordered sets are introduced and discussed. Considering their conjunctive and/or disjunctive attitude, some classification approaches are proposed, including several types of averaging aggregation functions. Aggregation functions on special cases of lattices and chains are discussed, too.