[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.

Vidal is supported by the project no. CZ.02.2.69/0.0/0.0/17 050/0008361, “Enhancing human resources for research in theoretical computer science”, funded by the Operational Programme Research, Development and Education of the Ministry of Education, Youth and Sports of the Czech Republic. Esteva and Godo acknowledge partial support by the FEDER/MINECO project TIN2015-71799-C2-1-P.

Peer reviewed