Strong Limit Theorems for Arbitrary Fuzzy Stochastic Sequences  

作　　者：费为银 

机构地区：[1]Department of Applied Mathematics,Anhui University of Technology and Science

出　　处：《Journal of Donghua University(English Edition)》2008年第5期556-560,共5页东华大学学报（英文版）

基　　金：Supported by National Basic Research Programof China (973Program, No.2007CB814901);Research Funds for Doctorial Programs of Higher Education (No.20060255006);Anhui Natural Science Foundation of University (No. KJ2008B143)

摘　　要：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.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.

关 键 词：fuzzy random variables fuzzy conditional expectation strong law of large numbers fuzzy stochastic sequences fuzzy martingale difference sequences 

分 类 号：O211.6[理学—概率论与数理统计] O159[理学—数学]