t-conorm
Noun

t-conorm (plural t-conorms)

  1. (fuzzy logic) A binary function from [0,1] × [0,1] to [0,1], which, when given (a,b) as input, returns one minus a t-norm of (1 − a, 1 − b).
    The t-conorm \sqrt{x^2 + y^2 - x^2 y^2} is dominated by the t-conorm x + y - xy, which is in turn dominated by the t-conorm {x + y \over 1 + x y}.
    A t-conorm acts as a disjunction in fuzzy logic or as a union in fuzzy set theory. When one of its arguments is 0, it returns its other argument; when one of its arguments is 1, it returns 1. It is both associative and commutative, and its partial derivatives with respect to its parameters are non-negative.
Synonyms
  • s-norm
Related terms


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