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On Finite-Valued Bimodal Logics with an Application to Reasoning About Preferences

AutorVidal, Amanda; Esteva, Francesc ; Godo, Lluis
Palabras claveReasoning about graded preferences
Necessity and possibility modal operators
Many-valued modal logic
Finite residuated lattice
Fecha de publicación11-sep-2017
EditorSpringer
CitaciónAdvances in Intelligent Systems and Computing, 643; Advances in Fuzzy Logic and Technology 2017, Proceedings of: EUSFLAT- 2017: 505- 517 (2018)
ResumenIn a previous paper by Bou et al., the minimal modal logic over a finite residuated lattice with a necessity operator was characterized under different semantics. In the general context of a residuated lattice, the residual negation ¬ is not necessarily involutive, and hence a corresponding possibility operator cannot be introduced by duality. In the first part of this paper we address the problem of extending such a minimal modal logic with a suitable possibility operator Q. In the second part of the paper, we introduce suitable axiomatic extensions of the resulting bimodal logic and define a logic to reason about fuzzy preferences, generalising to the many-valued case a basic preference modal logic considered by van Benthem et al. © Springer International Publishing AG 2018
URIhttp://hdl.handle.net/10261/164660
Identificadoresdoi: 10.1007/978-3-319-66827-7_47
issn: 21945357
isbn: 978-331966826-0
Aparece en las colecciones: (IIIA) Comunicaciones congresos
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