Some properties of random sets on Sugeno measure space

As it is well known, the theory of random sets has many applications to several fields such as Mathematics Economics, Statistics, and Pattern Recognition. In this paper, we define the distribution function of random sets on Sugeno measure space which is more extensive than that on probability space. We obtain some properties of the Choquet integral of random sets, and also, we give the strong law of large numbers of random sets on Sugeno measure space which is very important to study Statistical Learning Theory and Support Vector Machine based on random sets.