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In mathematics, a t-norm (also T-norm or, unabbreviated, triangular norm) is a kind of binary operation used in the framework of probabilistic metric spaces and in multi-valued logic, specifically in fuzzy logic. A t-norm generalizes intersection in a lattice and conjunction in logic. The name triangular norm refers to the fact that in the framework of probabilistic metric spaces t-norms are used to generalize the triangle inequality of ordinary metric spaces.

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  • T-Norm (de)
  • T-norm (en)
  • T-норма и t-конорма (ru)
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  • Eine T-Norm, oft auch klein t-Norm, ist eine mathematische Funktion, die im Bereich mehrwertiger Logiken, insbesondere in der Fuzzy-Logik, Bedeutung erlangt hat. Der Begriff leitet sich vom Englischen triangular norm, zu Deutsch Dreiecksnorm ab, und rührt daher, dass eine T-Norm eine dreiecksähnliche Fläche im beschreibt. (de)
  • In mathematics, a t-norm (also T-norm or, unabbreviated, triangular norm) is a kind of binary operation used in the framework of probabilistic metric spaces and in multi-valued logic, specifically in fuzzy logic. A t-norm generalizes intersection in a lattice and conjunction in logic. The name triangular norm refers to the fact that in the framework of probabilistic metric spaces t-norms are used to generalize the triangle inequality of ordinary metric spaces. (en)
  • t-нормой и t-конормой называются ассоциативные и коммутативные бинарные операции на L=[0,1], удовлетворяющие условию монотонности и имеющие в качестве нейтрального элемента 1 и 0, соответственно. t-нормы и t-конормы обычно используются в нечёткой логике в качестве операций конъюнкции и дизъюнкции, соответственно. t-норма и t-конорма, связанные законом Де Моргана, называются двойственными. Примеры простейших двойственных t-норм и t-конорм: (ru)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/EinsteinSum-graph-contour.png
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  • http://commons.wikimedia.org/wiki/Special:FilePath/LukasiewiczTnorm-graph-contour.png
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  • http://commons.wikimedia.org/wiki/Special:FilePath/MinimumTnorm-graph-contour.png
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  • http://commons.wikimedia.org/wiki/Special:FilePath/ResiduumLukasiewiczTnorm-graph-contour.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/ResiduumMinimumTnorm-graph-contour.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/ResiduumNilpotentMinimum-graph-contour.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/ResiduumProductTnorm-graph-contour.png
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