On elementary extensions in Fuzzy Predicate Logics
Tipo de Publicación:
Conference PaperOrigen:
IPMU 2010, Volumen6178, Dortmund, Germany, p.747-756 (2010)Palabras clave:
equality-free language; fuzzy predicate logic; model theory; elementary extension; elementary equivalenceResumen:
Abstract. Our work is a contribution to the model-theoretic study of
equality-free fuzzy predicate logics. We give a characterization of ele-
mentary equivalence in fuzzy predicate logics using elementary exten-
sions and introduce an strengthening of this notion, the so-called strong
elementary equivalence. Using the method of diagrams developed in [5]
and elementary extensions we present a counterexample to Conjectures
1 and 2 of [8].
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