A binary relation \(R\) is antisymmetric, iff for all \(x, y\) we have \(xRy\) and \(yRx\) \(\Rightarrow\) \(x=y\).
rel_is_antisymmetric(R)an object coercible to a 0-1 (logical) square matrix, representing a binary relation on a finite set.
rel_is_antisymmetric returns
a single logical value.
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.
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