# t-conorm

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## English[edit]

### Etymology[edit]

Short for *triangular* *conorm*.

### Noun[edit]

- (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**is dominated by the**t-conorm**, which is in turn dominated by the**t-conorm**.*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.