A new criterion of choice between generalized triangular fuzzy numbers

In this paper we consider a new criterion of choice between generalized (or rounded) triangular fuzzy numbers based on the concept of the weighted possibilistic mean introduced by Fullér and Majlender. First we introduce a preference relation which establishes a partial order on the family of generalized triangular fuzzy numbers. Second, we present a weak preference relation which leads to a total order on this family. Then we consider the special case of triangular fuzzy numbers and rephrase the preceding results in terms of selected parameters characterizing a triangular fuzzy number. Finally we compare our results with a number of new approaches recently discussed in the literature.