poseticDataAnalysis (version 1.0.0)

IsDominatedBy: Checking whether one element is dominated by another.

Description

Given two elements \(a\) and \(b\) of \(V\), checks whether \(a\leq b\) in poset \((V,\leq)\).

Usage

IsDominatedBy(poset, element1, element2)

Value

A boolean value.

Arguments

poset

An object of S4 class POSet. Argument poset must be created by using any function contained in the package aimed at building object of S4 class POSet (e.g. POSet(), LinearPOSet(), ProductPOSet(), ...) .

element1

A character string (the name of a poset element).

element2

A character string (the name of a poset element).

Examples

elems <- c("a", "b", "c", "d")

dom <- matrix(c(
  "a", "b",
  "c", "b",
  "b", "d"
), ncol = 2, byrow = TRUE)

pos <- POSet(elements = elems, dom = dom)

chk <- IsDominatedBy(pos, "a", "d")