rel_is_symmetric {agop}R Documentation

Symmetric Binary Relations

Description

A binary relation R is symmetric, iff for all x, y we have xRy => yRx.

Usage

rel_is_symmetric(R)

rel_closure_symmetric(R)

Arguments

R

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

Details

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.

Value

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.

See Also

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


[Package agop version 0.2-3 Index]