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On a Graded Modal Logic Approach to Reason with Fuzzy Preferences
Francesc Esteva, Lluis Godo, Amanda Vidal
86 - 95
10.3233/978-1-61499-806-8-86
Frontiers in Artificial Intelligence and Applications
Volume 300: Recent Advances in Artificial Intelligence Research and Development
Abstract

In this paper we first consider the problem of extending a fuzzy preference relation on a set, represented by a fuzzy preorder, to a fuzzy preference relation on subsets, and we characterise different possibilities. Based on their properties, we then semantically define and axiomatize a two-tiered graded modal logic to reason about a notion of fuzzy preferences.

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