rel_is_symmetric {agop} | R Documentation |
A binary relation R is symmetric, iff for all x, y we have xRy => yRx.
rel_is_symmetric(R) rel_closure_symmetric(R)
R |
an object coercible to a 0-1 (logical) square matrix, representing a binary relation on a finite set. |
rel_is_symmetric
finds out if a given binary relation
is symmetric. Any missing value behind the diagonal results in NA
.
The symmetric closure of a binary relation R,
determined by rel_closure_symmetric
,
is the smallest symmetric binary relation that contains R.
Here, any missing values in R
result in an error.
The rel_closure_symmetric
function
returns a logical square matrix. dimnames
of R
are preserved.
On the other hand, rel_is_symmetric
returns
a single logical value.
Other binary_relations: check_comonotonicity
,
pord_nd
, pord_spread
,
pord_weakdom
, rel_graph
,
rel_is_antisymmetric
,
rel_is_asymmetric
,
rel_is_cyclic
,
rel_is_irreflexive
,
rel_is_reflexive
,
rel_is_total
,
rel_is_transitive
,
rel_reduction_hasse