The Independence of Fuzzy Variables with Applications to Fuzzy Random Optimization
The Independence of Fuzzy Variables with Applications to Fuzzy Random Optimization
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DOI：
10.1142/s021848850700456x
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发表时间：
2007-04
期刊：
影响因子：
--
通讯作者：
Yian-Kui Liu;Jinwu Gao
中科院分区：
文献类型：
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作者：
Yian-Kui Liu;Jinwu Gao
本文介绍了模糊变量的独立性及其在模糊随机优化中的应用。首先，基于边际可能性分布函数的概念定义了模糊变量的独立性，并讨论了独立模糊变量与非交互（无关）模糊变量之间的关系。其次，讨论了独立模糊变量的一些性质，建立了独立模糊变量的充要条件。第三，我们提出了模糊事件的独立性，并讨论了它的基本性质。最后，我们将独立模糊变量的性质应用于一类模糊随机规划问题，研究了其凸性。
This paper presents the independence of fuzzy variables as well as its applications in fuzzy random optimization. First, the independence of fuzzy variables is defined based on the concept of marginal possibility distribution function, and a discussion about the relationship between the independent fuzzy variables and the noninteractive (unrelated) fuzzy variables is included. Second, we discuss some properties of the independent fuzzy variables, and establish the necessary and sufficient conditions for the independent fuzzy variables. Third, we propose the independence of fuzzy events, and deal with its fundamental properties. Finally, we apply the properties of the independent fuzzy variables to a class of fuzzy random programming problems to study their convexity.