一种语言多属性决策方法及其应用

采用正态模糊数描述指标级别和权重的语言值,并通过加权平均方法构建了基于语言算子的决策框架。建立了基于正态模糊数的语言算子,从而设计了模糊综合评价值截集的计算方法,通过离散截集近似表示综合评价模糊数,实现了正态模糊数的集结。采用回归方法得到正态模糊数表示综合评价的参数,根据正态模糊数的欧氏距离公式,给出了基于距离的正态模糊数线性排序方法。最后,以电子对抗装备体制方案的选优为例,说明该方法的可行性和实用性。

Approach to the multi-attribute linguistic decision making and its' application

The linguistic variable of the evaluation value and weight vectors is modeled by the normal fuzzy number,and the decision making framework based on the linguistic operator is established by the weighted mean method.The linguistic operator based on normal fuzzy numbers is given,and then the calculating method for the cuts of the comprehensive evaluation value is put forward.The fuzzy number of evaluation is expressed by discrete cuts,and the normal fuzzy number is aggregated.The comprehensive evaluation can also be expressed by normal fuzzy numbers and the parameters are got by regression.The linear ranking method based on the Euclid distance for the normal fuzzy number is proposed.Finally,the approach is applied in the decision making of an electronic countermeasures equipment system,and the results show the feasibility and validity of the proposed approach.