t-conorm

noun

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 #92;sqrt#123;x²#43;y²-x²y²#125; is dominated by the t-conorm x#43;y-xy, which is in turn dominated by the t-conorm #123;x#43;y#92;over 1#43;xy#125;.”

Similar
s-norm

Meanings

nount-conorm (plural t-conorms)

plural t-conorms

  1. fuzzy logicA 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 #92;sqrt#123;x²#43;y²-x²y²#125; is dominated by the t-conorm x#43;y-xy, which is in turn dominated by the t-conorm #123;x#43;y#92;over 1#43;xy#125;.

    1 more example

    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

Synonyms & antonyms

nounA 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).

Similar
s-norm

Origin

Cite this entry
APA

t-conorm. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/t-conorm

MLA

“t-conorm.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/t-conorm. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “t-conorm,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/t-conorm.

Source: t-conorm on Wiktionary, CC BY-SA 4.0.