A classification method of alternatives for multiple preference ordering criteria based on fuzzy majority.
Francisco Chiclana, Francisco Herrera, Enrique Herrera‐Viedma, M. C. Poyatos · 1996
The purpose of this paper is to present a classification method of alternatives for multiple preference ordering criteria based on the concept of fuzzy majority. The fuzzy majority is represented by a fuzzy quantifier, and applied in the aggregation by means of an OWA operator whose weights are calculated by the fuzzy quantifier. 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 different 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 different selection processes, a sequential choice pro...