Colors are created in your eye-brain system. Precisely, there's no "physical basis" for the distinction you're talking about. Every colored surface, when you see it colored, emits light in your direction. Same if it is a piece of paper, paint, or a light bulb. The difference is in the intensity of it.
However, when u project two lights on a piece of paper, you superimpose them, then u simply "add" light: there's more light, and the color that appears will be produced by the average of the two original lights. BUT, this optical average doesn't mean that the color will "look" so. For ex. if you superimpose Green & Red lights (both a bit yellowish), you get Yellow, which subjectively looks far from being an average of these two colors, but it is the color of their optical average!
When u mix two paints or dyes, each of them absorbs some of the incident light, the result is that the mixture absorbs more than the initial colors (except if you mix with for ex. red paint with white paint of course!) and then the color shift goes in the opposite direction: you remove light, you create another color.
CMYK model is useful only if you're using CMYK colors, if you work with other pigments, you'll see that CMYK will not help you much.