A Method to Determine Generalized Basic Probability Assignment in the Open World
Joint Authors
Zhou, Deyun
Jiang, Wen
Zhan, Jun
Li, Xin
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-24
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Dempster-Shafer evidence theory (D-S theory) has been widely used in many information fusion systems since it was proposed by Dempster and extended by Shafer.
However, how to determine the basic probability assignment (BPA), which is the main and first step in D-S theory, is still an open issue, especially when the given environment is in an open world, which means the frame of discernment is incomplete.
In this paper, a method to determine generalized basic probability assignment in an open world is proposed.
Frame of discernment in an open world is established first, and then the triangular fuzzy number models to identify target in the proposed frame of discernment are established.
Pessimistic strategy based on the differentiation degree between model and sample is defined to yield the BPAs for known targets.
If the sum of all the BPAs of known targets is over one, then they will be normalized and the BPA of unknown target is assigned to 0; otherwise the BPA of unknown target is equal to 1 minus the sum of all the known targets BPAs.
IRIS classification examples illustrated the effectiveness of the proposed method.
American Psychological Association (APA)
Jiang, Wen& Zhan, Jun& Zhou, Deyun& Li, Xin. 2016. A Method to Determine Generalized Basic Probability Assignment in the Open World. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1112106
Modern Language Association (MLA)
Jiang, Wen…[et al.]. A Method to Determine Generalized Basic Probability Assignment in the Open World. Mathematical Problems in Engineering No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1112106
American Medical Association (AMA)
Jiang, Wen& Zhan, Jun& Zhou, Deyun& Li, Xin. A Method to Determine Generalized Basic Probability Assignment in the Open World. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1112106
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112106