How to make perfect intersection of selections?

So I have 2 alpha channels. When I try to make a new selection intersecting those 2 alpha channels, there is always about 1 px that is not selected...
In the image the black pixels are the new selection, and red pixels are one of the alpha channels. No matter what I do, I can't make the new selection completely "fill the red pixels".
Any ideas?

I know it's antialiasing...
So far what I have understood is that the problem is not in the selections, but how PS does composition of transparent pixels. The classic example: black 50% transparent + black 50% transparent won't give a 100% black... So, after intersecting the selections it results in one pixel with 25% transparency and the other 75% transparency, when superimposing those 2 pixels I won't get a 100% opaque pixel.
Here is a better explanation:
http://www.neilblevins.com/cg_education/additive_mode_in_photoshop/additive_mode_in_photos hop.htm
It seems if I want to avoid those edges I will have to combine the alpha channels as regular layers with different blend modes, and the convert that into an alpha channel... or manually playing with levels on the alpha channels until it fits...

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