针对有决策者偏好信息的多属性决策问题,提出了一种基于模糊集和加权几何平均算子(WGA)的决策分析方法。应用模糊集理论,根据决策者的偏好对决策属性给出隶属函数,然后由隶属函数对决策属性进行赋权,再利用加权几何平均算子计算综合属性值进行方案集的排序与择优,最后通过实例验证了所给出方法的可行性和有效性。
In view of the multiple attribute decision making problem with decision makers' pref- erence, a fuzzy set and Weighted Geometry Averaging Algorithm (WGA) based decision analy- sis approach is proposed in this paper. Firstly, fuzzy set theory is used to get the membership function to decision attributes according to decision makers' preference. Then the attribute weighted vector is obtained based on the membership function, and the comprehensive attribute values are calculated to rank all the alternatives as well as select the best by using WGA. Final- ly, a numerical example is used to illustrate the feasibility and the validity of the approach pro- posed in the paper.