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On conjectures in t-norm based fuzzy logics

AuthorsEsteva, Francesc ; García-Honrado, Itziar; Godo, Lluis
CHC models
Consequence operators
T-norm based fuzzy logics
Issue Date2015
CitationStudies in Fuzziness and Soft Computing 322: 109- 123 (2015)
AbstractThis paper is a humble homage to EnricTrillas. Following his foundational contributions on models of ordinary reasoning in an algebraic setting, we study here elements of thesemodels, like conjectures and hypothesis, in the logical framework of continuous t-norm based fuzzy logics.We consider notions of consistency, conjecture and hypothesis arising from two natural families of consequence operators definable in these logics, namely the ones corresponding to the so-called truth-preserving and degree-preserving consequence relations. We pay special attention to the particular cases of three prominent fuzzy logics: Gödel, Product and Łukasiewicz logics © 2015 Springer International Publishing Switzerland.
Identifiersdoi: 10.1007/978-3-319-16235-5_9
issn: 1434-9922
Appears in Collections:(IIIA) Libros y partes de libros
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