### On theories and models in fuzzy predicate logics

Petr Cintula and Petr Hájek
Source: J. Symbolic Logic Volume 71, Issue 3 (2006), 863-880.

#### 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.

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Permanent link to this document: http://projecteuclid.org/euclid.jsl/1154698581
Digital Object Identifier: doi:10.2178/jsl/1154698581
Mathematical Reviews number (MathSciNet): MR2251545
Zentralblatt MATH identifier: 1111.03030

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