Multi-Criteria Decision Making Procedure under Incompletely Identified Preference Information

Abstract

The paper deals with interactive multiple criteria decision making procedure when decision maker (DM) specifies her or his preference in incomplete ways. Usually DM is willing or able to provide only incomplete information, because of time pressure and lack of knowledge or data. Under incomplete information on utility and attribute weight, the pairwise dominance checks result in strict or weak dominance values. Considering only strict dominance values sometimes fails to prioritize alternatives because of fuzziness of preference information. Further there exists some information loss useful if used, otherwise. In this paper, we consider the outranking concept which implies the willingness of DMs taking some risk under the least favorable situation because s/he has enough reasons to admit the results. By comparing the magnitude of net preference degree of alternatives which is defined by difference between outranking and outranked degree of each alternative, we can prioritize alternatives.