RuBy : a bipolar-valued outranking method for the best choice decision problem

The main concern of this article is a detailed presentation of the RuBy methodology for the best choice problem in the context of multiple criteria decision aid. We focus more particularly on pairwise comparisons of decision objects which lead to the concept of bipolar-valued outranking digraph. The work is centred around a list of five pragmatic principles which are required in the context of a best choice problematique. Their thorough study and implementation in the outranking digraph leads us to define a best choice recommendation as an extension of the classical kernel concept. Finally, we present and discuss the resolution algorithm of the RuBy best choice method.