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	On inequalities and critical values of fuzzy random variables
	Yang, LX ; Liu, BD
	2010-05-06 ; 2010-05-06
关键词	fuzzy random variable expected value operator chance measure critical value PROGRAMMING/ Computer Science, Artificial Intelligence
中文摘要	It is well-known that Holder, Minkowski, Markov, Chebyshev and Jensen's inequalities are important and useful results in probability theory. This paper proposes to extend the usefulness of the above inequalities to the context of uncertainty analysis in intelligent systems. In order to further discuss the mathematical properties of fuzzy random variables, the analogous inequalities for fuzzy random variables are first proved based on the chance measure and expected value operator. After that, monotonicity and continuity of critical values of fuzzy random variables are also investigated. Finally, a convergence theorem of critical values for fuzzy random sequence is obtained.
语种	英语 ; 英语
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD ; SINGAPORE ; 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14180]
专题	清华大学
推荐引用方式 GB/T 7714	Yang, LX,Liu, BD. On inequalities and critical values of fuzzy random variables[J],2010, 2010.
APA	Yang, LX,&Liu, BD.(2010).On inequalities and critical values of fuzzy random variables..
MLA	Yang, LX,et al."On inequalities and critical values of fuzzy random variables".(2010).

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