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Manuscript Title: Weak Law of Large Numbers for Hybrid Variables Based on Chance Measure

Author : Baogui Xin and Ying Liu

Email : xin@tju.edu.cnxin@tju.edu.cn

Abstract: Based upon previous studies on laws of large numbers for fuzzy, random, fuzzy random and random fuzzy variables, We go further to explore weak law of large numbers(WLLN) for hybrid variables comprising fuzzy random variables and random fuzzy variables. we mainly prove Chebyshev WLLN, Poisson WLLN, Bernoulli WLLN, Markov WLLN and Khintchin WLLN for hybrid variables based on chance measure.

Keywords: weak law of large numbers(WLLN), fuzzy random variable, random fuzzy variable, hybrid variable, chance measure.

Vol 2 (1)