Laws of large numbers for weighted sums of fuzzy set-valued random variables

作者：Li G^*; Li SM

来源：International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 2004, 12(6): 811-825.

• fuzzy set-valued random variables
• law of large numbers
• extended Hausdorff metric d(H)(infinity)
• stochastically dominated random elements

In this paper, we shall present weak and strong laws of large numbers (WLLN's and SLLN's) for weighted sums of independent (not necessarily identically distributed) fuzzy set-valued random variables in the sense of the extended Hausdorff metric d(H)(infinity), based on the result of set-valued random variable obtained by Taylor and Inoue(32,33). This work is a continuation of Li and Ogura(20).

• 出版日期2004-12
• 单位北京工业大学