On elementary equivalence in fuzzy predicate logics

Pilar Dellunde, Francesc Esteva

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9 Citations (Scopus)


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. © 2012 Springer-Verlag.
Original languageEnglish
Pages (from-to)1-17
JournalArchive for Mathematical Logic
Issue number1-2
Publication statusPublished - 1 Jan 2013


  • Elementary extensions
  • Fuzzy predicate logics
  • Mathematical logic and foundations
  • Model theory
  • Quasi-witnessed models
  • Witnessed models


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