Multiple criteria decision making: Discordant preferences and problem description

Abstract

There are many practical decision problems where decision makers’ preferences may be inconsistent and contradictory. In this paper, new methods for ordering and classifying multi-attribute objects by discordant collective preferences are suggested. These methods are based on the theory of multiset metric spaces. The proposed techniques are applied to ranking companies and a competitive selection of projects, which are estimated by several experts upon multiple qualitative criteria.

Keywords

Multiple criteria decision making / discordant collective preferences / multiset metric space

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