ARROW-TYPE RESULTS UNDER INTUITIONISTIC FUZZY PREFERENCES

Fono et al.11 characterized, for an intuitionistic fuzzy t-norm $\mathcal{T} = (T, S)$, two properties of a given regular intuitionistic fuzzy strict component of a (T,S)-transitive intuitionistic fuzzy preference. In this paper, we examine these characterizations in the particular case where $\mathcal{T} = (\min,\max)$. We then use these (general and particular) results to obtain some intuitionistic fuzzy versions of Arrow's impossibility theorem. Therefore, by weakening a requirement to social preferences, we deduce a positive result, that is, we display an example of a non-dictatorial Intuitionistic Fuzzy Agregation Rule (IFAR) and, we establish an intuitionistic fuzzy version of Gibbard's oligarchy theorem.