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Binary Relation - Coggle Diagram
Binary Relation
Properties
Complete
Reflexive
Symmetric
Transitive
Circular
Asymmetric
Antisymmetric
Structure
Domain
Codomain
Range
Inverse Relation
Relation
Partial order (R)
Poset /partial-ordered set (S)
Reflexive + transitive + antisymmetric
Complete partial order / Linear order
Equivalence Relation
Equivalence class ( ~(a) )
Reflexive + transitive + symmetric
Preference Relation / Preorder/ Ordering
Succeed / Precede
Stricly ordering
transitive + asymmetric
Intervals
Closed interval [ ]
Open intervals ( )
Half-open interval ( ] or [ )
Unbounded intervals / contour set
The upper contour set
The lower contour set
Reflexive + transitive