Consider an agent with fuzzy preferences, who has to make exact choices when faced with different feasible sets of alternatives. Confining our analysis to the case of feasible sets with not more than two alternatives, we axiomatically characterize two broad classes of decision rules ('ratio...

This paper studies by means of reciprocal fuzzy binary relations the aggregation of preferences when individuals show their preferences gradually. We have characterized neutral aggregation rules through functions from powers of the unit interval in the unit interval. Furthermore, we have...

It has been shown that, with an alternative factorization of fuzzy weak preferences into symmetric and antisymmetric components, one can prove a fuzzy analogue of Arrow's Impossibility Theorem even when the transitivity requirements on individual and social preferences are very weak. It is...