Journal
MATHEMATICAL PROBLEMS IN ENGINEERING
Volume 2016, Issue -, Pages -Publisher
HINDAWI LTD
DOI: 10.1155/2016/5769061
Keywords
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Funding
- National Natural Science Foundation of China [60904099]
- Natural Science Basic Research Plan in Shaanxi Province of China [2016JM6018]
- Seed Foundation of Innovation and Creation for Graduate Students in Northwestern Polytechnical University [Z2016122]
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Dempster-Shafer (D-S) evidence theory has been widely used in various fields. However, how to measure the degree of conflict (similarity) between the bodies of evidence is an open issue. In this paper, in order to solve this problem, firstly we propose a modified cosine similarity to measure the similarity between vectors. Then a new similarity measure of basic probability assignment (BPAs) is proposed based on the modified cosine similarity. The new similarity measure can achieve the reasonable measure of the similarity of BPAs and then efficiently measure the degree of conflict among bodies of evidence. Numerical examples are used to illustrate the effectiveness of the proposed method. Finally, a weighted average method based on the new BPAs similarity is proposed, and an example is used to show the validity of the proposed method.
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