Individual-valued preferences and their aggregation: consistency analysis in a real case

In this paper, we have analyzed the accomplishment of several consistency conditions in a real decision case. A group of students showed their intensities of preference among the alternatives by means of linguistic labels represented by real numbers. The absolute and relative fulfillments of some kinds of fuzzy transitivity properties have been studied for individual and collective preferences. Collective preferences have been obtained by means of a wide class of neutral and stable for translations aggregation rules, which transports reciprocity from individual preferences to the collective preference. We notice that, in the real case studied, the aggregate preferences reach higher consistency properties than individual preferences.