Is the set of aggregation functions easy to characterise? I mean functions like addition, multiplication, maximum, minimum, count...(adsbygoogle = window.adsbygoogle || []).push({});

So basically everything thats commutative and associative:

[tex]

f(x,y)=f(y,x)

[/tex]

[tex]

f(f(x,y),z)=f(x,f(y,z))

[/tex]

What are other classes of such functions?

I can't all map to just addition, can I? I'd have no idea how to do it with the max(x,y) function?!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Aggregation functions

**Physics Forums | Science Articles, Homework Help, Discussion**