Asymetric Binary Relations
A binary relation R is asymmetric, iff for all x, y we have xRy => !yRx.
rel_is_asymmetric(R)
R |
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.
rel_is_asymmetric returns
a single logical value.
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
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