English   español  
Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/160427
Share/Impact:
Statistics
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar a otros formatos:

Title

First-order t-norm based fuzzy logics with truth-constants: Distinguished semantics and completeness properties

AuthorsEsteva, Francesc ; Godo, Lluis ; Noguera, Carles
KeywordsTruth-constants
T-norm based fuzzy logics
Residuated lattices
Mathematical fuzzy logic
First-order predicate non-classical logics
Algebraic logic
Issue Date2009
PublisherElsevier
CitationAnnals of Pure and Applied Logic 161: 185- 202 (2009)
AbstractThis paper aims at being a systematic investigation of different completeness properties of first-order predicate logics with truth-constants based on a large class of left-continuous t-norms (mainly continuous and weak nilpotent minimum t-norms). We consider standard semantics over the real unit interval but also we explore alternative semantics based on the rational unit interval and on finite chains. We prove that expansions with truth-constants are conservative and we study their real, rational and finite chain completeness properties. Particularly interesting is the case of considering canonical real and rational semantics provided by the algebras where the truth-constants are interpreted as the numbers they actually name. Finally, we study completeness properties restricted to evaluated formulae of the kind over(r, -) → φ, where φ has no additional truth-constants. © 2009 Elsevier B.V. All rights reserved.
URIhttp://hdl.handle.net/10261/160427
Identifiersdoi: 10.1016/j.apal.2009.05.014
issn: 0168-0072
Appears in Collections:(IIIA) Artículos
Files in This Item:
File Description SizeFormat 
APAL(2009)_161(185-202).pdf285,58 kBAdobe PDFThumbnail
View/Open
Show full item record
Review this work
 

Related articles:


WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.