摘要： 为证实证据分步合成方法在理论上的合理性,给出多证据分步合成结果的一般表达式,对分步合成方法理论上的合理性、合成结果的收敛性以及最终合成结果与证据行顺序之间的相关性进行研究。提出相关的定理和推论,并进行数学证明。针对高度冲突证据的分步合成问题 ,设计一种合成公式与加权平均法混合使用的分步合成算法。仿真结果表明,该算法的合成计算过程更为简洁,合成结果的收敛效果更好。

关键词: D-S证据合成, 分步合成算法, 收敛性, 高度冲突证据, 加权平均法

Abstract: In spite of step by step combination method is widely used by researchers,the rationality of this method in theory is not appeared in the literature review.This paper presents a general math expressions of step by step combination results,and studies the theoretical rationality of step by step combination method.The convergence of the combination results,the relationship between final combination results and the row order is studied.Several theorems and deductions are presented and proved using mathematical methods.The step by step combination algorithm mixing evidence combination formula and the weighted average method is proposed for combination of highly conflict evidence.Simulation results show that the proposed algorithm has simpler calculation process and better convergence effectiveness than representative alternative rules.

Key words: D-S evidence combination, step by step combination algorithm, convergence, highly conflict evidence, weighted average method

中图分类号: 

• TP301.6