## Journal of Symbolic Logic

### On theories and models in fuzzy predicate logics

#### Abstract

In the last few decades many formal systems of fuzzy logics have been developed. Since the main differences between fuzzy and classical logics lie at the propositional level, the fuzzy predicate logics have developed more slowly (compared to the propositional ones). In this text we aim to promote interest in fuzzy predicate logics by contributing to the model theory of fuzzy predicate logics. First, we generalize the completeness theorem, then we use it to get results on conservative extensions of theories and on witnessed models.

#### Article information

Source
J. Symbolic Logic Volume 71, Issue 3 (2006), 863-880.

Dates
First available in Project Euclid: 4 August 2006

http://projecteuclid.org/euclid.jsl/1154698581

Digital Object Identifier
doi:10.2178/jsl/1154698581

Mathematical Reviews number (MathSciNet)
MR2251545

Zentralblatt MATH identifier
1111.03030

#### Citation

Hájek, Petr; Cintula, Petr. On theories and models in fuzzy predicate logics. Journal of Symbolic Logic 71 (2006), no. 3, 863--880. doi:10.2178/jsl/1154698581. http://projecteuclid.org/euclid.jsl/1154698581.

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