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  • This paper is inspired by recent results which have shown that a multiplicative generator of a strict triangular norm can be reconstructed from the first partial derivatives of the triangular norm on the segment {0}x[0,1]. The strict triangular norms on which this method is applicable have been called zero-reconstructible triangular norms. This paper shows that every continuous triangular norm can be approximated (with an arbitrary precision) by a zero-reconstructible one and thus substantiates the significance of this subclass of strict triangular norms.
  • This paper is inspired by recent results which have shown that a multiplicative generator of a strict triangular norm can be reconstructed from the first partial derivatives of the triangular norm on the segment {0}x[0,1]. The strict triangular norms on which this method is applicable have been called zero-reconstructible triangular norms. This paper shows that every continuous triangular norm can be approximated (with an arbitrary precision) by a zero-reconstructible one and thus substantiates the significance of this subclass of strict triangular norms. (en)
Title
  • Zero-reconstructible Triangular Norms as Universal Approximators
  • Zero-reconstructible Triangular Norms as Universal Approximators (en)
skos:prefLabel
  • Zero-reconstructible Triangular Norms as Universal Approximators
  • Zero-reconstructible Triangular Norms as Universal Approximators (en)
skos:notation
  • RIV/67985807:_____/10:00329080!RIV11-GA0-67985807
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GD401/09/H007), Z(AV0Z10300504)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...titaPredkladatele
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  • 299932
http://linked.open...ai/riv/idVysledku
  • RIV/67985807:_____/10:00329080
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • zero-reconstructible strict triangular norm; approximation; multiplicative generator; reconstruction (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [8BA136CE05B2]
http://linked.open...i/riv/nazevZdroje
  • Neural Network World
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 20
http://linked.open...iv/tvurceVysledku
  • Petrík, Milan
  • Sarkoci, P.
http://linked.open...ain/vavai/riv/wos
  • 000275005500005
http://linked.open...n/vavai/riv/zamer
issn
  • 1210-0552
number of pages
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