T-norm - meaning and definition. What is T-norm
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  3. T-norm

What (who) is T-norm - definition


T-norm         
  • Graph of the bounded sum t-conorm
  • Graph of the drastic t-conorm. The function is discontinuous at the lines 1 > ''x'' = 0 and 1 > ''y'' = 0.
  • Graph of the drastic t-norm. The function is discontinuous at the lines 0 < ''x'' = 1 and 0 < ''y'' = 1.
  • Graph of the Einstein sum
  • Graph of the Hamacher product
  • Graph of the Łukasiewicz t-norm
  • Graph of the maximum t-conorm (3D and contours)
  • Graph of the minimum t-norm (3D and contours)
  • Graph of the nilpotent maximum. The function is discontinuous at the line 0 < ''x'' = 1 – ''y'' < 1.
  • Graph of the nilpotent minimum. The function is discontinuous at the line 0 < ''x'' = 1 − ''y'' < 1.
  • Graph of the probabilistic sum
  • Graph of the product t-norm
  • Standard Łukasiewicz implication.
  • Standard Gödel implication. The function is discontinuous at the line ''y'' = ''x'' < 1.
  • Residuum of the nilpotent minimum. The function is discontinuous at the line 0 &lt; ''y'' = ''x'' &lt; 1.
  • Goguen implication. The function is discontinuous at the point ''x'' = ''y'' = 0.
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.
https://en.wikipedia.org/wiki/T-norm
Monoidal t-norm logic         
THE LOGIC OF LEFT-CONTINUOUS T-NORMS
MTL (logic); Monoidal t-norm based logic
In mathematical logic, monoidal t-norm based logic (or shortly MTL), the logic of left-continuous t-norms, is one of the t-norm fuzzy logics. It belongs to the broader class of substructural logics, or logics of residuated lattices;Ono (2003).
https://en.wikipedia.org/wiki/Monoidal_t-norm_logic
Matrix norm         
NORM ON A VECTOR SPACE OF MATRICES
Frobenius norm; Matrix p-norm; Matrix norms; Spectral norm; Frobenius matrix norm; Induced norm; Trace norm; Sub-multiplicative norm; Submultiplicative norm; Nuclear norm; Subordinate norm
In mathematics, a matrix norm is a vector norm in a vector space whose elements (vectors) are matrices (of given dimensions).
https://en.wikipedia.org/wiki/Matrix_norm
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