DERPLAU  You can set the "Additional scans required before Trigger is disabled" item in the Preferences. I did this because Home Zone kept running triggers after short but transient drops of my wireless network; but it should work for your problem as well.  
(Version 1.0b9)

DERPLAU  Sorry, my bad: after reading through some other comments it appears that earlier versions did indeed install aped.

Good gravy, Logitech, you really are awful at writing Mac software.  
(Version 2.2.2)

DERPLAU  As much as I hate this software, I need to point out that it doesn't install aped; that must have been installed by some other piece of software.  
(Version 2.2.2)

DERPLAU  Horrible, horrible, horrible! (on an Intel Mac)

I've had Logitech mice for years, and though there were some driver difficulties a few years ago I thought they'd been straightened out... until I got a new (Intel) Mac. I thought I was going to have to return the Mac itself as a lemon due to the kernel panics, interface glitches, and random hangs I was experiencing. But apparently they were all due to this toxic software on my system! Fortunately there's third-party software available that lets me use my mouse but ditch this pile.  
(Version 2.2.2)