KnowraPreorderLinked fromLinked fromThe 10 pages that link to Preorder, each with the reason it gives.All 10Broader topic 2Related 1Narrower topic 1Compared with 6Equivalence relationCompared with: A preorder lacks the symmetry required for equivalence classes.Partial orderCompared with: It drops antisymmetry, allowing distinct elements to relate in both directions.Partially ordered setCompared with: Dropping antisymmetry allows distinct elements to relate in both directions.Reflexive relationBroader topic: Reflexivity is one of the two defining conditions for a preorder.Total orderNarrower topic: Preorders retain two order properties but may identify distinct elements in both directions.Strict partial orderCompared with: Its reflexive comparisons and possible ties distinguish it from strict ordering.CategoryRelated: Every preorder defines a category with at most one morphism between any two objects.Antisymmetric relationCompared with: A preorder can relate distinct elements in both directions, unlike a partial order.Partition of a setCompared with: Unlike equivalence relations, preorders do not generally induce partitions into classes.Order theoryBroader topic: Preorders weaken partial orders by allowing distinct elements to compare both ways.