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.
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Runkler, T.A. (2018). Mapping Utilities to Transitive Preferences. In: Medina, J., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations. IPMU 2018. Communications in Computer and Information Science, vol 853. Springer, Cham. https://doi.org/10.1007/978-3-319-91473-2_11
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DOI: https://doi.org/10.1007/978-3-319-91473-2_11
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