agop (version 0.2-2)

rel_is_asymmetric: 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.

Value

rel_is_asymmetric returns a single logical value.

Details

Note that an asymmetric relation is necessarily irreflexive, cf. 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.

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