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结合冲突系数K与Pignistic 概率距离的冲突度量方法
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TP 274

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国家自然科学基金(61401503)


A New Evidence Conflict Measurement Method Combined with Conflict Coefficient K and Pignistic Probability Distance
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    摘要:

    针对经典证据理论中,冲突系数K不能有效地度量证据之间的冲突程度的问题,提出了一种新的证据冲突表示方法,通过引入pignistic 概率距离,将pignistic 概率距离和冲突系数K看成平面直角坐标系上的一点,通过计算这个点到坐标原点的距离,以此作为衡量证据间冲突程度的标准;针对新的冲突度量方法,提出了一种改进的证据合成算法,将新的冲突系数作为修正因子,证据冲突时对合成结果进行修正,证据不冲突时采用DS合成规则进行合成。实例及仿真验证了新冲突度量算法和改进合成算法收敛速度显著快于对比算法。

    Abstract:

    Aimed at the problem that conflict coefficient K fails to effectively measure the degree of conflict between evidences in classical evidence theory, a new evidence conflict representation method is proposed. The use of the new method is as follows: Through the introduction of pignistic distance, and taking the probability of conflict coefficient K as a point on the plane rectangular coordinate system, the distance from this point to the original point on coordinates is a measurement standard for degrees of conflict between evidences. On the basis of the new measurement method, an improved combination rule is given. This algorithm is utilized to take the new conflict coefficient as a correction factor to revise the combination result when there is in conflict with evidence, and to perform the composition of results by adopting the composition rules of DS when there is in nonconflict with evidence. The simulation results show that the new measurement method and the improved combination rule are effective.

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李昌玺 ,周焰,张晨.结合冲突系数K与Pignistic 概率距离的冲突度量方法[J].空军工程大学学报,2016,17(2):91-97

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  • 在线发布日期: 2016-05-06
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