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1 Bulletin of the Polish Academy of Sciences. Technical Sciences

1 2003

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Dealing with Imprecise Knowledge on Preferences and Majority in Group Decision Making: Towards a Unified Characterization of Individual and Collective Choice Functions

Kacprzyk J., Zadrożny S.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2003

Vol. 51, nr 3

279-302

A fuzzy preference relation is a popular model to represent both individual and group preferences. However, what is often sought is a subset of alternatives that is an ultimate solution of a decision problem. In order to arrive at 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 classiccal, crisp preference relations. Originally, most of the popular group decision making rules were conceived for classical (crisp) prefernce relations (orderings), and then extended to the case of traditional fuzzy preference relations. Moreover, they often differ in their assumptions about the properties of the preference relations to be processed. In the paper we pursue the path towards a universal representation of such rules that provides an effective generalization of the classical rules for the fuzzy case. Moreover, it leads to a meaningful extension to the linguistic preferences, in the spirit of the computing with words paradigm.