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Strong Limit Theorems for Arbitrary Fuzzy Stochastic Sequences |
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| Authors: | FEI Wei-yin |
| Affiliation: | Department of Applied Mathematics, Anhui University of Technology and Science, Wuhu, Anhui 241000, China |
| Abstract: | Based on fuzzy random variables, the concept of fuzzy stochastic sequences is defined. Strong limit theorems for fuzzy stochastic sequences are established. Some known results in non-fuzzy stochastic sequences are extended. In order to prove results of this paper, the notion of fuzzy martingale difference sequences is also introduced. |
| Keywords: | fuzzy random variables fuzzy conditional expectation strong law of large numbers fuzzy stochastic sequences fuzzy martingale difference sequences |
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