Information measures over intuitionistic four valued fuzzy preferences

This paper studies the meaning of fuzzy preferences under the light of intuitionistic fuzzy sets. Intuitionism is revisited and intuitionistic fuzzy preference relations are defined. A linguistic interpretation of strict and weak fuzzy preferences is then developed where indecision can be explicitly analyzed with the help of a bilattice. Uncertainty is finally examined as a measure of ignorance associated to the intensity value of the preference predicate, where some information measures are applied over its complete structure.