Conditional uncertain set and conditional membership function

Kai Yao ()
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Kai Yao: University of Chinese Academy of Sciences

Fuzzy Optimization and Decision Making, 2018, vol. 17, issue 2, No 6, 233-246

Abstract: 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.

Keywords: Uncertain set; Membership function; Conditional uncertain set; Uncertainty theory (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10700-017-9271-2

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