RT Journal Article
ID 71dccf740cd59450
A1 Zhao, Liang 
A1 Yang, Zhanping 
A1 Xiao, Longyuan 
T1 CONSTRUCTION OF EVIDENCE BODIES FROM UNCERTAIN OBSERVATIONS
JF International Journal for Uncertainty Quantification
JO IJUQ
YR 2016
FD 2016-10-11
VO 6
IS 2
SP 157
OP 165
K1 uncertainty quantification
K1 evidence theory
K1 uncertain observation
K1 kernel density estimation
AB The construction of evidence bodies is a key issue when the evidence theory is applied in uncertainty quantification. The existing approaches proposed for this topic are usually too subjective to obtain rational evidence bodies in the situation of uncertain observations. This paper introduces a repeated kernel-density-estimation based approach for constructing evidence bodies from uncertain observations. The typical uncertain observations-limited point measurements together with interval measurements are considered in this paper. Using kernel density estimation with a loop, a family of probability distribution about the given observations is obtained, the probability box characterized by the bounds of the probability distribution family is discretized to evidence bodies by an outer discretization method. The approach also considers the uncertainty in the distribution assumption during the kernel density estimation. A numerical example is used to demonstrate the proposed approach.
PB Begell House
LK https://www.dl.begellhouse.com/journals/52034eb04b657aea,3cc9ec274644f0dc,71dccf740cd59450.html