Mapping utilities to transitive preferences

Abstract

This article deals with the construction of (pairwise) preference relations from degrees of utilities, e.g. ratings. Recently, the U2P method has been proposed for this purpose, but U2P is neither additively nor multiplicatively transitive. This paper proposes the U2PA and the U2PM methods. U2PA is additively transitive, and U2PM is multiplicatively transitive. Moreover, both U2PA and U2PM have linear preference over ambiguity.