NEW FORMULATIONS OF LAW OF LARGE NUMBERS AND ITS CONVERGENCE IN THE FRAMEWORK OF POSSIBILITY THEORY

摘要

This paper focuses on a law of large number in the setting of possibility theory. Particularly, the random variables used in probability theory are replaced here by fuzzy numbers. We cope with stochastic convergence of such a law in the sense that the probability of the difference between the arithmetic mean and the result will vanish for large n.