Choice, ranking and sorting in fuzzy multiple criteria decision aid

Abstract

In this chapter we survey several approaches to derive a recommendation from some preference models for multiple criteria decision aid. Depending on the specificities of the decision problem, the recommendation can be a selection of the best alternatives, a ranking of these alternatives or a sorting. We detail a sorting proce dure for the assignment of alternatives to graded classes when the available information is given by interacting points of view and a subset of prototypic alternatives whose assignment is given beforehand. A software dedicated to that approach (TOMASO) is briefly presented. Finally we define the concepts of good and bad choices based on dominant and absorbant kernels in the valued digraph that corresponds to an ordinal valued outranking relation.