Concept
T-norm
Overview
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. The name triangular norm refers to the fact that in the framework of probabilistic metric spaces t-norms are used to generalize the triangle inequality of ordinary metric spaces.
Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).
Possible passages
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Any such select set is called the set of postulates, or premises, from which the reasoning proceeds. The reasoning is nothing else than the exhibition of the whole pattern of general conditions involved in the pattern derived from the selected postulates.
Alfred North Whitehead, Science and the modern world
States what T-norm is.
Even speech rebels against this idea. A mathematical figure of three dimensions is called a solid--corpus solidum--and hence, according to the Latin, a body capable of being handled. It has a name derived, therefore, by no means from the independent play of imagination but from solid reality.
Friedrich Engels, Landmarks of Scientific Socialism
States what T-norm is.
Referring back to the definition (67) for log _ṡ_, we find that the combinations lor ([=(lor _f_)=]), and lor ([=(lor F*)]) vanish identically, when _f_ and F* are alternating matrices. Accordingly it follows out of {A}, that (68) (∂_s₁_/∂_x₁_) + (∂_s₂_/∂_x₂_) + (∂_s₃_/∂_x₃_) + (∂_s₄_/∂_x₄_) = 0, while the relation (69) lor (lor F*) = 0, signifies that of the four equations in {B}, only three represent independent…
Albert Einstein, The Principle of Relativity
Close in meaning to T-norm; the term itself is not named.
Related ideas
- Logical conjunction
- Function (mathematics)
- Mathematics
- Intersection (set theory)
- Probability theory
- Archimedean property
- Special relativity
- Logic
- Union (set theory)
- Fuzzy logic
- Continuous function
- De Morgan's laws
- T-norm fuzzy logics
- Residuated lattice
Place in the tradition
Part of Fuzzy logic.