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Kybernetika 39(3):275-280, 2003.

A Convergence of Fuzzy Random Variables.

Dug Hun Hong


Abstract:

In this paper, a general convergence theorem of fuzzy random variables is considered. Using this result, we can easily prove the recent result of Joo et al, which gives generalization of a strong law of large numbers for sums of stationary and ergodic processes to the case of fuzzy random variables. We also generalize the recent result of Kim, which is a strong law of large numbers for sums of levelwise independent and levelwise identically distributed fuzzy random variables.


Keywords: fuzzy number; fuzzy random variable; strong law of large numbers;


AMS: 60B12;


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BIB TeX

@article{kyb:2003:3:275-280,

author = {Hong, Dug Hun },

title = {A Convergence of Fuzzy Random Variables.},

journal = {Kybernetika},

volume = {39},

year = {2003},

number = {3},

pages = {275-280}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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