A construction method of aggregations functions on the set of discrete fuzzy numbers

Abstract

In this article we propose a method to construct aggregation functions on the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers contained in the finite chain L={0,1,⋯,n} from a couple of aggregation functions also defined on L. In addition, if the pair of discrete aggregation functions fulfills several properties such as associativity, commutativity or idempotence, we show that this new operator will satisfy these properties too. The particular case of uninorms is studied showing that some properties and part of the structure of the uninorms is preserved under the presented construction method. Finally, we provide an application of this last operator in a decision-making problem. © 2011 Springer-Verlag Berlin Heidelberg.