Maximal Element - Examples

Examples

  • In Pareto efficiency, a Pareto optimal is a maximal element with respect to the partial order of Pareto improvement, and the set of maximal elements is called the Pareto frontier.
  • In decision theory, an admissible decision rule is a maximal element with respect to the partial order of dominating decision rule.
  • In modern portfolio theory, the set of maximal elements with respect to the product order on risk and return is called the efficient frontier.
  • In set theory, a set is finite if and only if every non-empty family of subsets has a minimal element when ordered by the inclusion relation.

Read more about this topic:  Maximal Element

Famous quotes containing the word examples:

    “Histories are more full of examples of the fidelity of dogs than of friends.”
    —Alexander Pope (1688–1744)

    “There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
    —Bernard Mandeville (1670–1733)