Hi BR (thanks for the abbreviation),

First you have to decide in detail what you want.

1. What is an average for you?
Usual arithmetic mean is one option, other simple ones are a weighted mean of 
rgb (used by Photoshop etc.) or median values.
2. How to use the alphavalues?
Max, min, median, weighted means are again options.

This is not at all trivial. The designers here will have extremely diverging 
examples for different 'averaging'.

Perhaps it is much easier (and much faster) to simply set the ink of the button 
to give a high contrast?

hh
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