M-probability Theory on IF-events
نویسنده
چکیده
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 convergences are characterized: convergence in distribution, convergence in measure, and almost everywhere convergence.
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