Paper Info
Title
On elementary equivalence in fuzzy predicate logics
Abstract
Our work is a contribution to the model theory of fuzzy predicate logics. In this paper we characterize elementary equivalence between models of fuzzy predicate logic using elementary mappings. Refining the method of diagrams we give a solution to an open problem of Hájek and Cintula (J Symb Log 71(3):863---880, 2006, Conjectures 1 and 2). We investigate also the properties of elementary extensions in witnessed and quasi-witnessed theories, generalizing some results of Section 7 of Hájek and Cintula (J Symb Log 71(3):863---880, 2006) and of Section 4 of Cerami and Esteva (Arch Math Log 50(5/6):625---641, 2011) to non-exhaustive models.
Year
DOI
Venue
2013
10.1007/s00153-012-0303-x
Arch. Math. Log.
Keywords
Field
DocType
model theory,open problem,j symb log,elementary equivalence,elementary mapping,quasi-witnessed theory,fuzzy predicate logic,elementary extension,arch math log
Discrete mathematics,T-norm fuzzy logics,Open problem,Algebra,Elementary equivalence,Fuzzy logic,Model theory,Predicate (grammar),Predicate logic,Mathematics,Predicate (mathematical logic)
Journal
Volume
Issue
ISSN
52
1-2
1432-0665
Citations 
PageRank 
References 
5
0.48
15
Authors
2
Name
Order
Citations
PageRank
Pilar Dellunde115622.63
Francesc Esteva21885200.14