The Paretian liberal with intuitionistic fuzzy preferences: A result

摘要

In the present paper we consider a situation in which the individual preferences and the social preference relation are intuitionistic fuzzy and study the compatibility between the Pareto principle and Sens minimal liberalism condition. A possible factorization of the intuitionistic fuzzy weak preference relation allows us to prove a possibility result for the case of max-min transitive social preference.I am extremely grateful to the Coordinating Editor and an anonymous referee of this journal for their detailed comments and suggestions. The paper was written while I was a Post-doc fellow at the Graduiertenkolleg Allocationstheorie, Wirtschaftspolitik und kollektive Entscheidungen, Ruhr-University Bochum. Thanks are due to Krassimir Atanassov, Luis G. Gonzalez-Morales and Gergana Dimitrova for helpful comments, and to the Deutsche Forschungsgemeinschaft for financial support.