Jabarkan Intervals in partial orders dari Interval (matematika) dalam bahasa sunda

In order theory, one usually considers partially ordered sets. However, the above notations and definitions can immediately be applied to this general case as well. Of special interest in this general setting are intervals of the form  [a,b].

For a partially ordered set (P, ≤) and two elements a and b of P, one defines the set

[a, b] = { x | a ≤ x ≤ b }

One may choose to restrict this definition to pairs of elements with the property that a ≤ b. Alternatively, the intervals without this condition will just coincide with the empty set, which in the former case would not be considered as an interval.