An approach to group choice with fuzzy preference relations (Q1091235)

This paper presents an approach to group choice with fuzzy preference relations. The experts' judgements are presented as fuzzy preorder relations. As group choice we assume the nearest relation to these relations, in the sense of the Hamming distance. An algorithm for finding a preorder relation as an expression of group choice is given and a way is pointed out to find the best alternative on the basis of this group choice. Furthermore, the connection between the impossibility theorem of Arrow and this group choice is considered.