### Abstract

© 2019, The Author(s). This paper is a contribution to graded model theory, in the context of mathematical fuzzy logic. We study characterizations of classes of graded structures in terms of the syntactic form of their first-order axiomatization. We focus on classes given by universal and universal–existential sentences. In particular, we prove two amalgamation results using the technique of diagrams in the setting of structures valued on a finite MTL-algebra, from which analogues of the Łoś–Tarski and the Chang–Łoś–Suszko preservation theorems follow.

Original language | English |
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Pages (from-to) | 2177-2186 |

Journal | Soft Computing |

Volume | 23 |

DOIs | |

Publication status | Published - 15 Apr 2019 |

### Keywords

- Amalgamation theorems
- Graded model theory
- Mathematical fuzzy logic
- Preservation theorems
- Universal classes
- Universal-existential classes

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## Cite this

Badia, G., Costa, V., Dellunde, P., & Noguera, C. (2019). Syntactic characterizations of classes of first-order structures in mathematical fuzzy logic.

*Soft Computing*,*23*, 2177-2186. https://doi.org/10.1007/s00500-019-03850-6