Semivariance criteria for quantifying the choice among uncertain outcomes

  • Authors:
  • Yankui Liu;Xiaoqing Wang

  • Affiliations:
  • College of Mathematics & Computer Science, Hebei University, Baoding, Hebei, China;College of Mathematics & Computer Science, Hebei University, Baoding, Hebei, China

  • Venue:
  • ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part I
  • Year:
  • 2010

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Abstract

In a stochastic decision system, mean-risk is an approach frequently used for modeling the choice among random outcomes, the method quantifies a risk management problem by two criteria (i.e., mean and risk) with possible trade-off analysis In the literature, there are different risk definitions for a random variable such as variance, critical probability and stochastic dominance This paper presents semivariance of fuzzy random variable as a new risk criteria for measuring hybrid uncertain outcomes Since the semivariance is defined by nonlinear fuzzy integral, its computation is a challenge issue for research, and usually depends on intelligent algorithms This paper will develop some useful semivariance formulas for common triangular and trapezoidal fuzzy random variables, which have potential applications in various practical risk management problems.