The Improved Combination Rule of D Numbers and Its Application in Radiation Source Identification
Joint Authors
Guan, Xin
Liu, Haiqiao
Yi, Xiao
Zhao, Jing
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-09
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The D numbers theory is a novel theory to express uncertain information.
It successfully overcomes some shortcomings of Dempster-Shafer theory, such as the conditions of exclusiveness hypothesis and completeness constraint.
However, the combination rule of D numbers does not satisfy the associative property, which leads to limitations in practical application for D numbers.
In this paper, the improved D numbers theory is proposed to overcome the weakness based on the analysis of D numbers’ combination rule.
A new algorithm is constructed with the strict proof to simplify the combination rule.
The similarities and differences among DS theory, D numbers, and the improved D numbers are introduced with the numerical analysis.
An illustrative example of the radiation source identification is presented to demonstrate the effectiveness of the improved method.
American Psychological Association (APA)
Guan, Xin& Liu, Haiqiao& Yi, Xiao& Zhao, Jing. 2018. The Improved Combination Rule of D Numbers and Its Application in Radiation Source Identification. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1208168
Modern Language Association (MLA)
Guan, Xin…[et al.]. The Improved Combination Rule of D Numbers and Its Application in Radiation Source Identification. Mathematical Problems in Engineering No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1208168
American Medical Association (AMA)
Guan, Xin& Liu, Haiqiao& Yi, Xiao& Zhao, Jing. The Improved Combination Rule of D Numbers and Its Application in Radiation Source Identification. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1208168
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208168