A pilot study of multivariate uncertainty theory

This paper presents a method to find the metewands for multivariate measurement results.One-dimensional uncertainty theory was extended to multivariate form,and the multivariate uncertainty transfer rule was derived from the uncertainty theory and multivariate statistical analysis.This paper also describes the representation and geometrical meaning of the metewands to multivariate measurement results using multivariate uncertainty theory.The multivariate uncertainties evaluation method of common multivariate measurements,such as equal precision individual multivariate measurements and unequal precision individual multivariate measurements,were also provided.Analyses and simulations show that this theoretical system can be used for uncertainty evaluations of multivariate measurements.