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证据理论从两维到多维同步融合

     

摘要

The combination rule of D-S evidence theory reflects the joint effect of two evidences. To get the ultimate target attribute judgement from the information of multi-evidences, this thesis presents the D-S combination rule of multi-dimensional synchronization fusion. Firstly the conditions of multidimensional synchronization fusion are analyzed in detail. Then using the certainty factor instead of the uncertainty factor in D-S combination rule to get the fusion results, not only the calculation of insignificant joint probability product terms is avoided and the course is simplified, but also the practical application of D-S evidence theory could be extended. At last, the simulation results show the validity and feasibility of the multi-dimensional synchronization fusion.%D-S证据理论的组合规则是反映两个证据联合作用的法则.为了得到多个证据源的最终目标属性判决,提出了一种推广到多维同步合成计算的D-S组合规则.详细分析了多维同步融合的情况,提出利用多维同步融合的确定性因子来代替D-S组合规则中的不确定性因子进行融合,避免计算大量无实际意义的“联合概率”乘积项,简化了计算过程,拓展了D-S证据理论的实际应用.并通过仿真验证了推广到多维同步融合的D-S组合规则的正确性和有效性.

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