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- Title
Uncertainty Distribution of Some Composite Uncertain Variables.
- Authors
Chen, Chongshuang; Tang, Jiayin; Xiao, Jianbo; Huang, Lei
- Abstract
In this paper, we named the composition by a real-valued measurable function and an uncertain variable as a composite uncertain variable. We focused on the uncertainty distribution for two kinds of composite uncertain variables. The conclusions show: (1) it exists a lower bound when the composed function is continuous and strictly monotonically decreasing at first and then strictly monotonically increasing (e.g. convex downward functions); (2) it exists an upper bound when the composed function is continuous and strictly monotonically increasing at first and then strictly monotonically decreasing (e.g. convex upward functions).
- Subjects
DISTRIBUTION (Probability theory); MONOTONIC functions; UNCERTAIN systems; MATHEMATICAL variables; MATHEMATICAL models
- Publication
International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems, 2017, Vol 25, Issue 4, p545
- ISSN
0218-4885
- Publication type
Article
- DOI
10.1142/S0218488517500234