In this paper we first consider the problem of extending fuzzy (weak and strict) preference relations, represented by fuzzy preorders on a set to a fuzzy preferences on subsets, and we characterise different possibilities. Based on their properties, we then semantically define and axiomatize several two-tiered graded modal logics to reason about the corresponding different notions of fuzzy preferences.
CITATION STYLE
Esteva, F., Godo, L., & Vidal, A. (2018). A modal account of preference in a fuzzy setting. In Studies in Fuzziness and Soft Computing (Vol. 360, pp. 241–260). Springer Verlag. https://doi.org/10.1007/978-3-319-64286-4_15
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