B-SpIine Method of Uncertain Statistics with Applications to Estimate Travel Distance

摘要

Uncertainty theory is a branch of mathematics for modeling uncertainty in human resoning, and uncertain statistics is a methodology for collecting and interpreting experts' experimental data by uncertainty theory. In this paper, we will first discuss how to collect experts' data. We apply this method to a model estimating the distance between Beijing and Tianjin. Based on the experts' experimental data, B-spline method is used to estimate the empirical uncertainty distribution. Finally, a numerical examples is given.