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Mathematical Problems in Engineering
Volume 2017, Article ID 7635972, 15 pages
Research Article

A Method to Identify the Incomplete Framework of Discernment in Evidence Theory

School of Electronics and Information, Northwestern Polytechnical University, Xi’an, Shaanxi 710072, China

Correspondence should be addressed to Wen Jiang; nc.ude.upwn@newgnaij

Received 30 July 2017; Revised 16 October 2017; Accepted 5 November 2017; Published 10 December 2017

Academic Editor: Anna M. Gil-Lafuente

Copyright © 2017 Wen Jiang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Dempster-Shafer evidence theory is a very useful tool in dealing with the decision-making of uncertain information. However, the classical evidence theory is no longer applicable when the frame of discernment (FOD) is incomplete. Moreover, incomplete FOD is an important reason for the emergence of conflict. So it is necessary to identify whether the FOD of the system is complete or not. In this paper, a method is proposed to identify the incomplete FOD under framework of the generalized evidence theory dealing with incomplete information. Within the proposed method, pieces of evidence are generated from the attributes of each sample firstly; then three criteria are used to identify weather the FOD is incomplete according to these evidence. The main parameters of the criteria are the amount of being a focal element in generated evidence, the mass of in the weighted average evidence from generated evidence, and the mass of in the combination of generated evidence. Some experiments are used to demonstrate the effectiveness of the proposed method.