Construction of global fuzzy preference structures from two-parameter single-criterion fuzzy outranking relations

In this paper we deal with the construction of global fuzzy preference structures from two-parameter single-criterion fuzzy outranking relations proposed in [10] and which are based on the aggregation of outranking indices associated with α-cuts. We consider two ways of constructing global fuzzy preference structures: (i) aggregate the two-parameter single-criterion fuzzy outranking relations and then construct the global fuzzy preference structures and (ii) construct global fuzzy preference structures and then aggregate the single-criterion fuzzy preference, indifference and incomparability relations. We also investigate the case where these two ways of proceeding lead to the same results.