Evidence Combination From an Evolutionary Game Theory Perspective
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Open Access
- 13 August 2015
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Cybernetics
- Vol. 46 (9), 2070-2082
- https://doi.org/10.1109/tcyb.2015.2462352
Abstract
Dempster-Shafer evidence theory is a primary methodology for multisource information fusion because it is good at dealing with uncertain information. This theory provides a Dempster's rule of combination to synthesize multiple evidences from various information sources. However, in some cases, counter-intuitive results may be obtained based on that combination rule. Numerous new or improved methods have been proposed to suppress these counter-intuitive results based on perspectives, such as minimizing the information loss or deviation. Inspired by evolutionary game theory, this paper considers a biological and evolutionary perspective to study the combination of evidences. An evolutionary combination rule (ECR) is proposed to help find the most biologically supported proposition in a multievidence system. Within the proposed ECR, we develop a Jaccard matrix game to formalize the interaction between propositions in evidences, and utilize the replicator dynamics to mimick the evolution of propositions. Experimental results show that the proposed ECR can effectively suppress the counter-intuitive behaviors appeared in typical paradoxes of evidence theory, compared with many existing methods. Properties of the ECR, such as solution's stability and convergence, have been mathematically proved as well.Keywords
Funding Information
- National High Technology Research and Development Program of China (863 Programs) (2013AA013801)
- National Key Technology R&D Program China (2012BAH07B01)
- State Key Program for Basic Research of China (973 Programs) (2013CB329405)
- National Natural Science Foundation of China (61174022, 61203222)
- Specialized Research Fund for the Doctoral Program of Higher Education (20131102130002)
- open funding project of the State Key Laboratory of Virtual Reality Technology and Systems, Beihang University (BUAA-VR-14KF-02)
- China Scholarship Council
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