Chance measure for hybrid events with fuzziness and randomness
Chance measure for hybrid events with fuzziness and randomness
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DOI：
10.1007/s00500-008-0308-x
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发表时间：
2008-10
期刊：
影响因子：
4.1
通讯作者：
Xiang Li;Baoding Liu
中科院分区：
文献类型：
--
作者：
Xiang Li;Baoding Liu
在许多情况下，模糊性和随机性同时出现在系统中。混合变量是描述这一现象的工具。模糊随机变量和随机模糊变量都是混合变量的实例。为了度量混合事件，本文提出了机会测度的概念。此外，还证明了该测度的几个有用性质，例如自对偶性、次可加性和半连续性。给出了机会分布、期望值、方差、矩、临界值、熵、距离、序列收敛等概念。
In many cases, fuzziness and randomness simultaneously appear in a system. Hybrid variable is a tool to describe this phenomena. Fuzzy random variable and random fuzzy variable are instances of hybrid variable. In order to measure hybrid event, a concept of chance measure is proposed in this paper. Furthermore, several useful properties about this measure are proved such as self-duality, subadditivity and semicontinuity. Some concepts are also presented such as chance distribution, expected value, variance, moments, critical values, entropy, distance and sequence convergences.