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Ambiguity Measures for preference-based decision viwewpoints

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2019

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Springer Verlag
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Franco, C., Rodríguez, J.T., Montero, J., Gómez, D., Yager, R.R.: Ambiguity Measures for Preference-Based Decision Viewpoints. En: Seki, H., Nguyen, C.H., Huynh, V.-N., y Inuiguchi, M. (eds.) Integrated Uncertainty in Knowledge Modelling and Decision Making. pp. 38-49. Springer International Publishing, Cham (2019)

Abstract

This paper examines the ambiguity of subjective judgments, which are represented by a system of pairwise preferences over a given set of alternatives. Such preferences are valued with respect to a set of reasons, in favor and against the alternatives, establishing a complete judgment, or viewpoint, on how to solve the decision problem. Hence, viewpoints entail particular decisions coming from the system of preferences, where the preference-based reasoning of a given viewpoint holds according to its soundness or coherence. Here we explore such a coherence under the frame of ambiguity measures, aiming at learning viewpoints with highest preference-score and minimum ambiguity. We extend existing measures of ambiguity into a multi-dimensional fuzzy setting, and suggest some future lines of research towards measuring the coherence or (ir)rationality of viewpoints, exploring the use of information measures in the context of preference learning.

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