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Inequalities and mathematical properties of uncertain variables

Name: Inequalities and mathematical properties of uncertain variables
Creator: Jingfeng Tian
Keywords: 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article 17 Aug 2011 English Publisher:Springer Science and Business Media LLCJournal:Fuzzy Optimization and Decision Making, volume 10, pages 357-368 (issn: 1568-4539, eissn: 1573-2908,

Authors: Jingfeng Tian;

doi: 10.1007/s10700-011-9110-9

Inequalities and mathematical properties of uncertain variables

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Abstract

Uncertain variables are measurable functions from uncertainty spaces to the set of real numbers. In this paper, some important inequalities of uncertain variables, for example, extension of Jensen's inequality, Liapounov's inequality, and refined Markov inequalities are presented. In addition, some mathematical properties of uncertain variables are also given and proven.

Related Organizations

North China Electric Power University
China (People's Republic of)

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