Given the sets E_1,\ldots,E_n, let E_1\times \cdots\times E_n=\bigotimes_{i=1}^nE_i the set of n-tuples with (u_1,\ldots,u_n) with u_i\in E_i,\ \forall i=1,ldots,n. The Hamming similarity for tuples is a function HammingSim:\bigotimes_{i=1}^nE_i\times \bigotimes_{i=1}^nE_i\longrightarrow [0,1] that measures the number of equals components, divided by the length of tuples:


where IdSim is the Identity similarity.

Examples Edit

  • HammingSim((1,a,0,b),(0,a,1,b)) = 2/4 = 0.25.
  • HammingSim((1,a,0,b),(0,b,1,a))= 0/4 = 0.
  • HammingSim(('A.Sanchez','','913724710'),('A.Sanchez','',' ') = 1/3 = 0.33.

Normalization Edit

It is normalized.

Variations Edit

When the components of tuples are of the same types, we have the Hamming similarity for vectors.

Applications Edit

Useful for comparing entities described by a fixed set of attributes of different types.

References Edit

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