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Conditional uncertain set and conditional membership function

Author

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  • Kai Yao

    (University of Chinese Academy of Sciences
    Chinese Academy of Sciences)

Abstract

The uncertain set, as a generation of uncertain variable, is a set-valued function on an uncertainty space. The conditional uncertain set, derived from an uncertain set restricted to a conditional uncertainty space given an uncertain event, plays a crucial role in uncertain inference systems. This paper studies conditional uncertain sets and their membership functions, and gives a sufficient condition for an uncertain set having a conditional membership function. In addition, when the uncertain set is conditioned on an independent event, this paper finds the analytic expression of the conditional membership function based on the original membership function.

Suggested Citation

  • Kai Yao, 2018. "Conditional uncertain set and conditional membership function," Fuzzy Optimization and Decision Making, Springer, vol. 17(2), pages 233-246, June.
    • Handle: RePEc:spr:fuzodm:v:17:y:2018:i:2:d:10.1007_s10700-017-9271-2
    DOI: 10.1007/s10700-017-9271-2
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    Cited by:

    1. Jian Zhou & Yujiao Jiang & Athanasios A. Pantelous & Weiwen Dai, 2023. "A systematic review of uncertainty theory with the use of scientometrical method," Fuzzy Optimization and Decision Making, Springer, vol. 22(3), pages 463-518, September.

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