Probabilistic foundations for measurement modelling with fuzzy random variables

详细信息	查看全文 | 推荐本文 |

• 作者：Pedro Terá ; n
• 关键词：Archimedean t-norm ; Central Limit Theorem ; Fuzzy random variable ; Measurement ; Strong Law of Large Numbers
• 刊名：Fuzzy Sets and Systems
• 出版年：2007
• 期刊代码：55_01650114
• 类别：cp
• 出版时间：1 May 2007
• 卷：158
• 期：9
• 页码：973-986
• 文件大小：210 K

摘要

We propose fuzzy random variables as a tool for modelling measurements when both aleatory and fuzzy uncertainty have to be taken into account. Uncertainty propagation follows the ordinary scheme for the random part and uses a t-normed extension principle for the fuzzy part. We concentrate on the probabilistic theoretical underpinnings of the model, particularly limit theorems, and discuss their implications to the model.