TitleOn Modal Extensions of Product Fuzzy Logic
Publication TypeJournal Article
Year of PublicationIn Press
AuthorsVidal A, Esteva F, Godo L
JournalJournal of Logic and Computation
Abstract

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