The group decision-making problem is studied, in which the experts provide their preference information by different formats, i.e., multiplicative preference relations and fuzzy preference relations. The net flow scores of fuzzy preference relations and multiplicative preference relations are...

In this paper we establish interrelations between fuzzy direct revelation axiom (FDRA), fuzzy transitive-closure coherence axiom (FTCCA), fuzzy consistent-closure coherence axiom (FCCCA) and fuzzy intermediate congruence axiom (FICA). We also establish their relationships with weak fuzzy...

In decision-making processes, it often occurs that the decision maker is asked to pairwise compare alternatives. His/her judgements over a set of pairs of alternatives can be collected into a matrix and some relevant properties, for instance, consistency, can be estimated. Consistency is a...

The fuzzy set applications in political science cover decision making, games, collective choice, representation and comparative politics. The earliest applications were largely theoretical and suggestive rather than empirically anchored and testable models. We discuss a representative sample of...

The theory of fuzzy sets has been applied to social choice primarily in the context where one is given a set of individual fuzzy preference relations and the aim is to find a non-fuzzy choice set of winners or best alternatives. In this article, we discuss the problem of composing multi-member...