partially ordered set
"Partially ordered sets" are foundational in mathematics, particularly in set theory and order theory, where they help describe relationships that are not strictly linear.
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Definition
C2Set Theory
(technical, academic)A set combined with a binary relation that is reflexive, antisymmetric, and transitive.
Example
- In a partially ordered set, some elements may not be comparable with each other.
- A partially ordered set is more general than a totally ordered set.
Similar
Terms that have similar or relatively close meanings to "partially ordered set":