Comment 7 for bug 1333217

Because Mint developers are not planning to fix Muon package please feel free to use below method to overcome this limitation:

1) Fix mintsources package

download deb package with 'apt-get download mintsources'
unpack deb with 'ar x mintsources_1.3.4_all.deb'
unpack control archive with 'tar xzf control.tar.gz'
fix dependencies in 'control' file by editing it with 'nano control' and removing line "Conflicts: software-properties-gtk, software-properties-kde"
repack control archive with 'tar c control | gzip -c > control.tar.gz'
repack deb with 'ar rcs mintsources_fixed.deb debian-binary control.tar.gz data.tar.xz'

2) After creating the package we need to install everyting (order is important)

remove existing mintsources with 'sudo dpkg -r mintsources'
install muon with 'sudo apt-get install muon'
install mintsources from our customized package with 'sudo dpkg -i --force-overwrite mintsources_fixed.deb'

3) Prevent our modifications from being overwritten
lock installed mintsources package with 'sudo apt-mark hold mintsources'
lock installed muon package with 'sudo apt-mark hold muon'

Finally we can have Muon and apt-apt-repository working at the same time!