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Volume 37 Issue 9
Sep.  2015
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Guo Qiang, He You, Li Xin-de. Fast DSmT-DS Approximate Reasoning Method[J]. Journal of Electronics & Information Technology, 2015, 37(9): 2040-2046. doi: 10.11999/JEIT150086
Citation: Guo Qiang, He You, Li Xin-de. Fast DSmT-DS Approximate Reasoning Method[J]. Journal of Electronics & Information Technology, 2015, 37(9): 2040-2046. doi: 10.11999/JEIT150086

Fast DSmT-DS Approximate Reasoning Method

doi: 10.11999/JEIT150086
  • Received Date: 2015-01-15
  • Rev Recd Date: 2015-03-27
  • Publish Date: 2015-09-19
  • In this paper, Dempster-Shafer (DS) theory and Dezert-Smarandache Theory (DSmT) are conducted thorough reasearch, and in order to obtain more accurate fusion results in the premise of needing less computation complexity, a fast DSmT-DS approximate reasoning method is proposed. This method is only fit for the case that there are only singleton focal elements with assignments in hyper-power set. The hyper-power set is splitted and mapped to a new hyper-power set which consists of the binary sets of the focal element and its complementary set to the assignments of the complementary sets are computed. Proportional Conflict Redistribution No.5 within Dezert-Smarandache framework (DSmT+PCR5) is applied to fuse the multi-source evidence in the binary sets of the new hyper-power set to get the fusion results of singleton focal elements. Then the assignments of singleton focal elements are obtained by normalization. Through the theoretical analysis, the conclusion is drawn that the fusion results of the mothod in this paper is between the results of DSmT+PCR5 and Dempsters combination rule based on DS model, and the fusion results of the method in this paper which is better than the rusults of Dempsters combination rule can be obtained in the premise of minimal computation complexity. Finally, by comparing the method in this paper with the existing methods from different views, the superiority of new one is testified well.
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