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  • This chapter offers a review of Petr Hájek’s contributions to first-order axiomatic theories in fuzzy logic (in particular, ZF-style fuzzy set theories, arithmetic with a fuzzy truth predicate, and fuzzy set theory with unrestricted comprehension schema). Generalizations of Hájek’s results in these areas to MTL as the background logic are presented and discussed.
  • This chapter offers a review of Petr Hájek’s contributions to first-order axiomatic theories in fuzzy logic (in particular, ZF-style fuzzy set theories, arithmetic with a fuzzy truth predicate, and fuzzy set theory with unrestricted comprehension schema). Generalizations of Hájek’s results in these areas to MTL as the background logic are presented and discussed. (en)
Title
  • Set Theory and Arithmetic in Fuzzy Logic
  • Set Theory and Arithmetic in Fuzzy Logic (en)
skos:prefLabel
  • Set Theory and Arithmetic in Fuzzy Logic
  • Set Theory and Arithmetic in Fuzzy Logic (en)
skos:notation
  • RIV/67985807:_____/15:00432931!RIV15-GA0-67985807
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  • I, P(GAP202/10/1826), P(GPP103/10/P234)
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  • 421
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  • RIV/67985807:_____/15:00432931
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  • fuzzy set theory; fuzzy logic; naive comprehension; non-classical arithmetic (en)
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http://linked.open...ontrolniKodProRIV
  • [E5D7C6C80E07]
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  • Cham
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  • Outstanding Contributions to Logic, 6
http://linked.open...i/riv/nazevZdroje
  • Petr Hájek on Mathematical Fuzzy Logic
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  • Běhounek, Libor
  • Haniková, Zuzana
number of pages
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  • 10.1007/978-3-319-06233-4_4
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  • Springer-Verlag
https://schema.org/isbn
  • 978-3-319-06232-7
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