In this article, we investigate the weighted m-subharmonic functions. We shall give some properties of class and consider its relation to m-Cegrell classes. also prove an integration theorem almost everywhere convergence for class.

Following M. Krachounov ([5]), max and min operations with fuzzy sets are considered instead of Lukasiewicz ones ([6], [7], [8], [9]). Her the domain F of a probability m : F → [0, 1] consists on IF-events A = (μA, νA) i.e. mappings from a measurable space (Ω,S) to the unit square ([1]). Local representation of sequences of M -observables by random variables is constructed and three kinds of co...