基于PAO算子的直觉模糊多准则决策算法  

Intuitionistic fuzzy multi-criteria decision-making method based on prioritized aggregation operators

作　　者：姜小奇[1,2] 魏书堤[2] 

机构地区：[1]中南大学商学院,湖南长沙410083 [2]衡阳师范学院计算机科学系,湖南衡阳421008

出　　处：《湖南科技大学学报（自然科学版）》2014年第3期69-72,共4页Journal of Hunan University of Science And Technology：Natural Science Edition

基　　金：湖南省科技厅资助项目(2013gk3064)

摘　　要：定义了直觉模糊数及其比较规则,提出了直觉模糊数间的PAO算子.针对准则间具有偏好关系且准则权重未知并变化,准则值为直觉模糊数的模糊多准则决策问题,提出了利用PAO算子进行集结的决策方法.该方法通过计算各方案在不同准则下的相对满意指数和相对精度,利用PAO算子获得每个方案的具体准则权重并生成计分函数和精确函数.通过计分函数的比较,得出方案集的排序结果.实例分析表明了该方法的有效性和可行性.Intuitionistic fuzzy numbers and their comparison laws were defined and prioritized aggregation operators for intuitionistic fuzzy numbers were proposed.For fuzzy multi -criteria decision making problems having a preference between criteria,in which the criteria values were intuitionistic fuzzy numbers and the changing weights of the criteria were unknown,an approach based on prioritized aggregation operators was proposed.By using these prioritized aggregation operators, the comparative satisfying index, comparative accuracy and the weights of each alternative under different criteria were calculated,then the values of the score function and accuracy function were attained.By comparing score function and accuracy function values,a ranking of the whole alternative set was attained.Analysis of an example shows that the method is of the feasibility and effectiveness.

关 键 词：直觉模糊数 集结算子 多准则决策 PAO 

分 类 号：C934[经济管理—管理学]