Towards a General and Unified Characterization of Individual and Collective Choice Functions under Fuzzy and Nonfuzzy Preferences and Majority via the Ordered Weighted Average Operators

A fuzzy preference relation is a powerful and popular model to represent both individual and group preferences and can be it basis for decision-making models that in general provide its a result a subset of alternatives that can constitute all Ultimate Solution of a decision problem. To arrive at a such a final solution individual and/or group choice rules may be employed. There is a wealth of such rules devised in the context of the classical, crisp preference relations. Originally, most of the popular group decision-making rules were conceived for classical (crisp) preference relations (orderings) and then extended to the traditional fuzzy preference relations. fit this paper we pursue the path towards a universal representation of such choice rules that can provide an effective generalization-for the case of fuzzy preference relations-of the classical choice rules. (c) 2008 Wiley Periodicals, Inc.