Abstract
This is a first approach to the study of the connection between fuzzy preference relations and fuzzy choice functions. In particular we depart from a fuzzy preference relation and we study the conditions it must satisfy in order to get a fuzzy choice function from it. We are particulary interested in one function: G-rationalization. We discuss the relevance of the completeness condition on the departing preference relation. We prove that not every non-complete fuzzy preference relation leads to a choice function.
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Martinetti, D., Montes, I., Díaz, S. (2011). From Preference Relations to Fuzzy Choice Functions. In: Liu, W. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2011. Lecture Notes in Computer Science(), vol 6717. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22152-1_50
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DOI: https://doi.org/10.1007/978-3-642-22152-1_50
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-22151-4
Online ISBN: 978-3-642-22152-1
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