Logical foundation of fuzzy preferential systems with application to the electre decision aid methods

In this paper we introduce split truth/falseness semantics for a multi-valued logical processing of fuzzy preference modelling. Our approach takes as starting point the standard framework of fuzzy outranking relations as proposed by the French multi-criteria decision aid community. Formal links between a given relational credibility calculus and associated truth polarization techniques will be discussed. The main result is the establishment of a multi-valued logical framework which allows us to naturally postpone any necessary defuzzification step to the end of the decision problem.