On the concept of possibility-probability consistency measure-general cases

We present the axiom definition of the possibility-probability consistency measure to the experiments with infinite outcomes. This definition generalizes the one proposed by M. Delgado and S. Moral (1987), in which only the experiments with finite outcomes are concerned. Also, three classes of possibility-probability consistency measures are obtained, which generalize the ones proposed by L.A. Zadeh (1978), D. Dubois (1980), and D. Dubois and H. Prade (1982; 1983).