Uninorms and nullnorms on the set of discrete fuzzy numbers

Abstract

In this paper a method to extend discrete uninorms and nullnorms on the finite chain L = {0,...,n}, to uninorms and nullnorms defined on the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers contained in L is presented. Some basic properties of discrete uninorms and nullnorms are preserved by this extension method and the structure of these kinds of aggregations is maintained too. Finally, we develop an application to obtain the group consensus opinion based on the extension of discrete uninorms and nullnorms.