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Hello,

I've recently write down some measure for sets and now I wonder how it is called or where it is described?

The measure itself is the following: Let $A$ & $B$ -- two sets of values from a single space (real line for example) Let:

$d(A, B) = \Sigma_{a sum_{a \in A} \Sigma_{b sum_{b \in B} dist(a, b\frac{dist(a, b)}{len(A) / (#A * #B)$

Where len(B)}$•$dist(a, b)$is the distance between two values •$#A$len(A)$ is the number of the elements in A$A$

So, the measure itself is:

$|| A, B || = \frac{d^2(A, B)}{abs(d(AB)}{|d(A, A) * d(B, B))B)|} - 1$

1

# How the distance between sets is called?

Hello,

I've recently write down some measure for sets and now I wonder how it is called or where it is described?

The measure itself is the following: Let $A$ & $B$ -- two sets of values from a single space (real line for example) Let:

$d(A, B) = \Sigma_{a \in A} \Sigma_{b \in B} dist(a, b) / (#A * #B)$

Where $dist(a, b)$ is the distance between two values $#A$ is the number of the elements in A

So, the measure itself is: $|| A, B || = \frac{d^2(A, B)}{abs(d(A, A) * d(B, B))} - 1$