基于C-OWHA算子的区间证据理论及其应用

The Interval Evidence Theory and Its Application Based on the C-OWHA Operator

为解决经典区间证据合成方法具有计算复杂、不满足结合律等问题,利用连续区间数据有序加权调和平均(C-OWHA)算子提出一种新的区间信度合成方法.该方法借助C-OWHA算子构造区间信度点化函数,使得区间基本概率分配函数转化为点信度函数,再结合Dempster合成规则将转化后的点信度进行融合.最后,将该方法应用于一个算例,以说明该方法的实用性.

For the deficiency of the classical combination approach for interval beliefs, such as being complex in computation and not satisfying the associative law, a new belief combination approach based on the continuous or- dered weighted harmonic averaging（C-OWHA） operator is given. Firstly, the point function of interval belief is con- structed by the C-OWHA operator, which convert the interval mass function to point beliefs. Then the converted point beliefs can be combined by Dempster rule. Lastly, a numerical example is given to illustrate the practicability of the approach.