Definition Edit

Given a set of ontological entities O, a distance function is a dissimilarity function \delta:O\times O \longrightarrow \mathbb{R}^+ that holds the following properties:

  • Identity of indiscernibles \forall x,y \in O, \delta(x,y)= 0 if and only if x=y
  • Simmetry: \forall x,y \in O, \delta(x,y) = \delta(y,x)
  • Subadditivity (triangle inequality): \forall x,y,z \in O, \delta(x,y)+\delta(y,z)\geq \delta(x,z)

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