Uncertainty Measurement of Basic Probability Assignment Integrity Based
  on Approximate Entropy in Evidence Theory
  Evidence theory is that the extension of probability can better deal with
unknowns and inaccurate information. Uncertainty measurement plays a vital role
in both evidence theory and probability theory. Approximate Entropy (ApEn) is
proposed by Pincus to describe the irregularities of complex systems. The more
irregular the time series, the greater the approximate entropy. The ApEn of the
network represents the ability of a network to generate new nodes, or the
possibility of undiscovered nodes. Through the association of network
characteristics and basic probability assignment (BPA) , a measure of the
uncertainty of BPA regarding completeness can be obtained. The main
contribution of paper is to define the integrity of the basic probability
assignment then the approximate entropy of the BPA is proposed to measure the
uncertainty of the integrity of the BPA. The proposed method is based on the
logical network structure to calculate the uncertainty of BPA in evidence
theory. The uncertainty based on the proposed method represents the uncertainty
of integrity of BPA and contributes to the identification of the credibility of
BPA.
