k-order representative capacity

We propose a general notion of lower k-order representative capacity that is totally identified by the smallest k-order coefficients in one or another equivalent representation, and the k-additive, k-maxitive and k-tolerant capacities are just its special cases. We further construct its dual notio n, the upper k-order representative capacity, which is accordingly determined by n - 1 to n - k-order representation coefficients and takes k-minitive...