一种特殊相关证据的合成方法

Dempster-Shafer证据理论的合成方法只适用于独立的情况，相关证据的合成则比较复杂，本文认为两个相关证据是由两个独立源证据和一个相关性源证据通过正交和合成所得。相关证据的合成则为这三个源证据的正交和，因此必须从相关证据中分离出独立部分和相关部分。针对相关证据的BPA为可分离mass函数的情形，给出了具体明确的合成方法。

A Combination Method for Special Dependent Evidences

The Dempster Shafer combination method of evidence theory is only fit to the case that the evidences are independent. The combination of dependent evidences is more complex. In this paper, two dependent evidences are thought of as resulted from orthogonal sum of a dependent original evidence and two independent original evidences, respectively. Combining the two dependent evidences can be reduced to an orthogonal sum of the three original evidences. For this, the independent parts and the dependent parts must be divided from two dependent evidences. In the case that the BPAs of dependent evidences are separable mass functions, an explicit combination method is given.