rel_is_antisymmetric {agop}

Antisymmetric Binary Relations

Description

A binary relation R is antisymmetric, iff for all x, y we have xRy and yRx \Rightarrow x=y.

Usage

rel_is_antisymmetric(R)

Arguments

R

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

Details

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

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

Value

rel_is_antisymmetric returns a single logical value.

See Also

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