Syntactic characterizations of classes of first-order structures in mathematical fuzzy logic

Guillermo Badia, Vicent Costa, Pilar Dellunde, Carles Noguera

Research output: Contribution to journalArticleResearch

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 languageEnglish
Pages (from-to)2177-2186
JournalSoft Computing
Volume23
DOIs
Publication statusPublished - 15 Apr 2019

Keywords

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

Fingerprint Dive into the research topics of 'Syntactic characterizations of classes of first-order structures in mathematical fuzzy logic'. Together they form a unique fingerprint.

  • Cite this