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Let $A$ and $B$ be sets of elements and $f()$ be a function that according to a condition return one or more associations $(a_k,b_k)$ that comply that condition otherwise if there is not any association it returns $\emptyset$.

Which notation could I use to represent the set of all the possible associations returned by $f()$?

Thanks!

user206695
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  • So, is your $f$ basically a partial function from $A$ to $B$, i.e. a function from a subset of $A$ to $B$? – Berci Apr 08 '15 at 19:15
  • The result of $f$ is a set of combinations $(a,b,c)$ where $c$ could be an extra attribute (the distance between $a$ and $b$ for example). – user206695 Apr 08 '15 at 19:22

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