Extended Preference Structures in MultiCriteria Decision Aid
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TL;DR
A basic distinction between uncertainty reasons is advanced in the paper, that is between lack of information and contradictory information, and the PC preference structure is adopted in order to represent the different preference situations that may occur.
Abstract
Uncertainty and ambiguity are common situations in decision aid and therefore in preference modelling and aggregation. A basic distinction between uncertainty reasons is advanced in the paper, that is between lack of information and contradictory information. A semantical investigation of this approach is conducted and the PC preference structure is adopted in order to represent the different preference situations that may occur. This type of preference structure, besides offering an enhanced granularity in preference modelling, is strongly axiomatized, enabling a precise calculus. Some of its potentialities are discussed using a preference aggregation problem.