Strong law of large numbers for t-normed arithmetics
- 作者：Pedro Terá ; n
- 关键词：Fuzzy random variable ; Random upper semicontinuous function ; Strong law of large numbers ; Triangular norm
- 刊名：Fuzzy Sets and Systems
- 出版年：2008
- 期刊代码：55_01650114
- 类别：cp
- 出版时间：1 February 2008
- 卷：159
- 期：3
- 页码：343-360
- 文件大小：248 K
摘要
We prove a strong law of large numbers for sequences of pairwise i.i.d. fuzzy random variables. Addition is given by the extension principle associated with a general continuous triangular norm. Our result includes the SLLN for levelwise sums, obtained when the chosen triangular norm is the minimum.