Fuzzy Preferences, Liberalism and Non-discrimination

In the present article we consider a situation in which the individual and collective preferences are fuzzy or intuitionistic fuzzy and present some results in this framework. These results are connected with the analysis of the Liberal paradox of Sen (1970) and the requirement of non-discrimination introduced by Xu (2000). It is argued that the introduction of fuzziness allows possibility results to be proven and well known notions in the social choice theory to be enriched.