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- W3217803089 abstract "This article continues the theoretical study of weighted structures in mathematical fuzzy logic focusing on the finite model theory of fuzzy logics valued on arbitrary finite <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$mathrm{MTL}$</tex-math></inline-formula> -chains. We show that for any first-order (or infinitary with finitely many variables) formula <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$varphi$</tex-math></inline-formula> , there is a truth-value that <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$varphi$</tex-math></inline-formula> takes almost surely in every finite many-valued model and such that every other truth-value is almost surely not taken. This generalizes a theorem in the fuzzy setting due to Robert Kosik and Christian G. Fermüller." @default.
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- W3217803089 date "2022-09-01" @default.
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- W3217803089 title "A 0-1 Law in Mathematical Fuzzy Logic" @default.
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- W3217803089 doi "https://doi.org/10.1109/tfuzz.2021.3131200" @default.
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