On some construction methods for 1-Lipschitz aggregation functions

Authors:
Jana Kalická
Affiliations:
Department of Mathematics, SvF, Slovak University of Technology, Radlinského 11, 813 68 Bratislava, Slovakia
Venue:
Fuzzy Sets and Systems
Year:
2009

Citing 3
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Abstract

Flipping method for constructing copulas from a given copula is extended to aggregation functions. Aggregation functions admitting flipping method are characterized and studied. Moreover, the algebraic structure of several kinds of dualities on aggregation functions, including the flipping method, the reverse method and the standard duality, is classified. Based on composition of construction methods, several new construction methods for 1-Lipschitz aggregation functions are introduced, and their algebraic relationships are studied.