Inequalities and mathematical properties of uncertain variables

  • Authors:
  • Jingfeng Tian

  • Affiliations:
  • College of Science and Technology, North China Electric Power University, Baoding, People's Republic of China 071051

  • Venue:
  • Fuzzy Optimization and Decision Making
  • Year:
  • 2011

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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.