rel_asymmetric: Asymetric Binary Relations

In Rexamine/agop: Aggregation Operators and Preordered Sets

Asymetric Binary Relations

Description

A binary relation R is asymmetric, iff for all x, y we have xRy \Rightarrow \neg yRx.

Usage

rel_is_asymmetric(R)

Arguments

R	an object coercible to a 0-1 (logical) square matrix, representing a binary relation on a finite set.

Details

Note that an asymmetric relation is necessarily irreflexive, compare rel_is_irreflexive.

rel_is_asymmetric finds out if a given binary relation is asymmetric. Missing values in R may result in NA.

Also, check out rel_closure_symmetric for the symmetric closure of R.

Value

rel_is_asymmetric returns a single logical value.

See Also

Other binary_relations: check_comonotonicity(), pord_nd(), pord_spread(), pord_weakdom(), rel_graph(), rel_is_antisymmetric(), rel_is_cyclic(), rel_is_irreflexive(), rel_is_reflexive(), rel_is_symmetric(), rel_is_total(), rel_is_transitive(), rel_reduction_hasse()

Rexamine/agop documentation built on Dec. 11, 2023, 10:02 p.m.