A Modified Distance of Evidence

Jousselme advanced the distance of evidence to measure the degree of difference between evidence that represents the identification result and evidence that represents the real solution. The distance of evidence becomes smaller with the increase of dispersion of evidences basic probability assignment. And for two totally different evidences, the distance is less than one unless the two evidences are both category ones. Therefore, the distance of evidence proposed by Jousselme is unsuitable to measure the difference between two evidences. Aiming at this problem, a modified distance of evidence is put forward. Numerical examples indicate that the modified distance of evidence extendes the application scope of distance proposed by Jousselme for measuring the difference between evidences.