There are two properties, actually--one is called weak hypercharge, and the other is called weak isospin. They correspond to the U(1) and SU(2) symmetries of the Standard Model, respectively. The reason you don't hear about them as much is that they are related in a rather complicated way to the electric charge, and also to the chiral (non-parity-conserving) aspects of the Standard Model, so it's not as easy to say that a specific particle has a specific isospin/hypercharge number. But they are conserved quantities, and are related to the weak force in exactly the same way as color charge relates to the strong force, and mass relates to gravity.