A Classiication Method of Alternatives for Multiple Preference Ordering Criteria Based on Fuzzy Majority a Classiication Method of Alternatives for Multiple Preference Ordering Criteria Based on Fuzzy Majority

The purpose of this paper is to present a classiication method of alternatives for multiple preference ordering criteria based on the concept of fuzzy majority. The fuzzy majority is represented by a fuzzy quantiier, and applied in the aggregation by means of an OWA operator whose weights are calculated by the fuzzy quantiier. For every preference ordering criterion we derive a preference ordering relation and from the set of preference ordering relations we derive a collective preference ordering relation, distinguishing between the two experts' opinions intensity possibilities , i.e. homogeneous group and heterogeneous group. We present two diierent choice degrees of alternatives acting over the collective preference ordering relation , a dominance degree and a non-dominance degree that generalizes Orlovski's non-dominated alternative concept. The application of the two alternative choice degrees is carried out according to two diierent selection processes, a sequential choice process and a conjunction choice process.