An alternative axiomatization for a fuzzy modal logic of preference

Abstract

[EN]In a recent paper, the authors have proposed an axiomatic system for a modal logic of gradual preference on fuzzy propositions that was claimed to be complete with respect to the intended semantics. Unfortunately, the completeness proof has a flaw, that leaves still open the question of whether the proposed system is actually complete. In this paper, we propose an alternative axiomatic system with a multi-modal language, where the original modal operators are definable and their semantics are preserved, and for which completeness results are proved.