A New Evidence Combination Method Based on Consistent Strength

Author(s):  
Changming Qiao ◽  
Shuli Sun
2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Bin Wu ◽  
Xiao Yi

Conflict evidence combination is an important research topic in evidence theory. In this paper, two kinds of transition matrices are constructed based on the Markov model; one is the unordered transition matrix, which satisfies the commutative law, and the other is the temporal transition matrix, which does not satisfy the commutative law, but it can handle the combination of temporal evidence well. Then, a temporal conflict evidence combination model is proposed based on these two transition matrices. First, the transition probability at the first n time is calculated through the model of unordered transition probability, and then, the transition matrix from the N + 1 time is used to solve the combination problem of temporal conflict evidence. The effectiveness of the transition matrix in the research of conflict evidence combination method is proved by the example analysis.


2013 ◽  
Vol 303-306 ◽  
pp. 930-937
Author(s):  
Jing Zhu ◽  
Chen Xi Wang ◽  
Cheng Jun Zhang ◽  
Shi Kai Zhang

The combination of high conflict evidence is a research focus in belief function theory, this paper analyzes two major solving strategy of the modifying rule and the modifying evidence body, and proposes a new evidence synthesis method by modifying rule. In allusion to the combination of high conflict evidence and focusing downwards problem, the method constructs new global conflict measurement under the framework of conjunction combination, which can solve the illogicality of of Shafer conflict measurement. Then the paper designs the solution of local redistribution of global conflict, through choosing the reasonable proportion coefficient, which can overcome focusing downwards and synthesis convergence problem together. Compared with other methods, the new method is more effective to solve the combination problem of high conflict evidence, and meet the quasi-association, and has the higher value of application.


2014 ◽  
Vol 536-537 ◽  
pp. 443-449
Author(s):  
Dong Ying Bai ◽  
Jun Han ◽  
Jian Wang ◽  
Song Li

Aiming at the paradox of D-S evidence theory and computations exponential growth in dealing with large scale conflict evidence combination, a new weighted evidence combination method was proposed, which used conflict coefficient and evidence distance in order to measure the conflict. Through the analysis of single conflict representations weaknesses, compound conflict coefficient has been put forward, meanwhile, the evidence center and current center distance were defined, evidence weight was determined with current center distance and conflict coefficient. The experiment results show that the algorithm settles the paradox effectively, at the same time, computing speed has been greatly enhanced.


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