Partial Equivalence Relation

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A Partial Equivalence Relation is a Binary Relation that ...


  • (Wikipedia, 2009) ⇒
    • In mathematics, a partial equivalence relation (often abbreviated as PER) R on a set X is a relation that is symmetric and transitive. In other words, it holds for all a, b, c \in X that:
      • 1. if aRb, then bRa (symmetry)
      • 2. if aRb and bRc, then aRc (transitivity)
    • If R is also reflexive, then R is an equivalence relation.