Vidal, Amanda; Esteva, Francesc; Godo, Lluis On modal extensions of product fuzzy logic. (English) Zbl 1390.03025 J. Log. Comput. 27, No. 1, 299-336 (2017). Authors’ abstract: 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 \(\Delta\) 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. Reviewer: Salvatore Sessa (Napoli) Cited in 16 Documents MSC: 03B52 Fuzzy logic; logic of vagueness 03B45 Modal logic (including the logic of norms) Keywords:product fuzzy logic; modal fuzzy logics; strong standard completeness; rational truth-constants; infinitary rule PDFBibTeX XMLCite \textit{A. Vidal} et al., J. Log. Comput. 27, No. 1, 299--336 (2017; Zbl 1390.03025) Full Text: DOI Link