Back-and-forth systems for fuzzy first-order models

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F18%3A00486421" target="_blank" >RIV/67985556:_____/18:00486421 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.fss.2018.01.016" target="_blank" >http://dx.doi.org/10.1016/j.fss.2018.01.016</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2018.01.016" target="_blank" >10.1016/j.fss.2018.01.016</a>

Result language
angličtina
Original language name
Back-and-forth systems for fuzzy first-order models
Original language description
This paper continues the study of model theory for fuzzy logics by addressing the fundamental issue of classifying models according to their first-order theory. Three different definitions of elementary equivalence for fuzzy first-order models are introduced and separated by suitable counterexamples. We propose several back-and-forth conditions, based both on classical two-sorted structures and on non-classical structures, that are useful to obtain elementary equivalence in particular cases as we illustrate with several examples.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GF15-34650L" target="_blank" >GF15-34650L: Modeling vague quantifiers in mathematical fuzzy logic</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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