A Novel Evidence Distance in Power Set Space
Lei Zheng1,
Jiawei Zou1,
Baoyu Liu1,
Yong Hu2, and Yong
Deng2
1College
of Information Science and Technology, Jinan University, China
2Big
Data Decision Institute, Jinan University, China
Abstract: Distance measure of evidence presented has been used
to measure the similarity of two bodies of evidence. However, it is not
considered that the probability distribution on a power set is able to assign
to its subsets not only single elements. In this paper a novel approach is
proposed to measure the distance of evidence. And some properties that the
novel approach has, such as nonnegativity, symmetry, triangular inequality, downward
compatibility and higher sensitivity, is proved. Numerical example and real
application are used to strictly illustrate the efficiency of the new distance.
Keywords: Evidence theory, evidence distance,
data function, target recognition system.
Received February 18, 2017;
accepted November 27, 2017
https://doi.org/10.34028/iajit/17/1/2