In this paper we introduce the modelling of speciﬁc interactions between criteria expressing positive and negative preferences considered as reasons in favor and reasons against the comprehensive preferences. We can call this method the bi-polar approach to MCDA. In order to take into account, speciﬁc interactions between criteria in this context, especially the power of the opposing criteria, multiple criteria positive and negative preferences are aggregated using the bi-polar Choquet integral. The bi-polar approach is applied to the two most well-known classes of outranking methods: ELECTRE and PROMETHEE. The ﬁnal result is a new way to deal with the outranking approach, which permits to take into account some very important preferential information which could not be modelled before by the existing MCDA methodologies. Our approach is related with most of the current advanced research subjects in MCDA and more speciﬁcally with the following domains: outranking approach, fuzzy integral approach, four-valued logic approach, non-additive and nontransitive models of conjoint measurement, non-compensatory preference structures, interpretation of the importance of criteria, methods for assessing the non-additive weights, and the aggregation functions.
|Place of Publication||Coimbra, Portugal|
|Publisher||University of Coimbra|
|Number of pages||73|
|Publication status||Published - 28 Nov 2003|