Abstract
We show how the theory of “probabilistic consistency” developped in the framework of pair comparison methods with forced choice con be extended to arbitrary valued preference relations. Especially we generalize classical “stochastic transitivity” conditions securing the “linearity” of valued relations and we study the implications between such conditions.
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Monjardet, B. (1988). A Generalisation of Probabilistic Consistency: Linearity Conditions for Valued Preference Relations. In: Kacprzyk, J., Roubens, M. (eds) Non-Conventional Preference Relations in Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 301. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51711-2_3
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DOI: https://doi.org/10.1007/978-3-642-51711-2_3
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