On modal extensions of Product fuzzy logic

In this article, we study modal extensions of Product fuzzy logic with both algebraic semantics and relational semantics based on Kripke structures with crisp accessibility relations, when the underlying product fuzzy logic is expanded with truth-constants, the Δ operator and with two infinitary inf...

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Detalles Bibliográficos
Autores: Vidal, Amanda, Esteva, Francesc, Godo, Lluis
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2017
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/155299
Acceso en línea:http://hdl.handle.net/10261/155299
Access Level:acceso abierto
Palabra clave:Strong standard completeness
Rational truth-constants
Infinitary rules
Modal fuzzy logics
Product fuzzy logic
Descripción
Sumario:In this article, we study modal extensions of Product fuzzy logic with both algebraic semantics and relational semantics based on Kripke structures with crisp accessibility relations, when the underlying product fuzzy logic is expanded with truth-constants, the Δ operator and with two infinitary inference rules. We provide completeness results for both kinds of semantics. Finally, we also consider a generalization of possibilistic logic evaluated over product algebras. © The Author, 2015. Published by Oxford University Press. All rights reserved.