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t-conorm

    From Wiktionary, the free dictionary

    English

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    Etymology

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    Short fortriangularconorm.

    Noun

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    t-conorm (pluralt-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 at-norm of (1 −a, 1 −b).
      Thet-conormx2+y2x2y2{\displaystyle {\sqrt {x^{2}+y^{2}-x^{2}y^{2}}}} is dominated by thet-conormx+yxy{\displaystyle x+y-xy}, which is in turn dominated by thet-conormx+y1+xy{\displaystyle {x+y \over 1+xy}}.
      At-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.

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