基于C-OWA算子的区间信度合成方法

A Combination Approach for Interval Belief Structure Based on the C-OWA Operator

针对经典的区间信度合成方法不满足结合律、计算复杂等问题,构建了一种基于C-OWA算子的区间信度合成方法。该方法通过构造基于C-OWA的区间信度点化算子,将区间信度转化为点信度,同时对不同偏好的区间信度进行调整,并利用点化算子对区间信度的有效性、区间信度分配的风险偏好进行判断,再利用点信度合成方法将点化后的区间信度进行合成。最后,通过一个算例,对比分析该方法的有效性。

For the deficiency of the classical combination approach for interval beliefs,such as not satisfying the associative law and being complex in computation,a new approach based on the continuous ordered weighted averaging(C-OWA)operator is proposed in this paper.Firstly,the interval beliefs are converted to point beliefs by the C-OWA operator.According to the properties of belief structure,the validity of the interval belief structure and the risk preference of belief assignment can be identified and adjusted by the operator.Then the interval beliefs can be combined by the Dempster rule.Finally,an example is given to check the utility of this approach.