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