基于四参数区间数的多准则决策方法  

Multi-criteria Decision Making Method Based on Interval Numbers of Four Parameters

作　　者：胡军华[1] 林增钰 

机构地区：[1]中南大学商学院,湖南长沙410083

出　　处：《运筹与管理》2013年第6期84-91,共8页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(71371196);教育部人文社会科学研究规划基金资助项目(11YJA630031);湖南省哲学社会科学基金资助项目(11YBB380)

摘　　要：针对准则权重和准则值均为四参数区间数的多准则决策问题,提出了一种基于四参数区间集结算子的多准则决策方法。首先,定义了四参数区间数以及加权的连续四参数区间数有序加权平均(WCFP-OWA)算子和加权的连续四参数区间数有序加权几何平均(WCFP-OWG)算子,并利用连续四参数区间数有序加权平均(CFP-OWA)算子对四参数区间数准则权重进行处理,然后利用WCFP-OWA算子和WCFP-OWG算子对四参数区间数准则值进行集成得到综合值以确定方案排序。最后将该方法应用于勘探公司的选择,验证了该方法的合理性和有效性。As for the multi-criteria decision-making problems in which criteria weights and the criteria values of alternatives are both in the form of interval numbers of four parameters, a method based on aggregation operators for solving multi-criteria decision-making with interval numbers of four parameters is proposed. Firstly, the con- cepts regarding the interval number of four parameters, the weighed continuous interval number of four parame- ters OWA（WCFP-OWA） operator and the weighed continuous interval number of four parameters OWG（ WCFP- OWG） operator are defined. Secondly, the criteria weights in the form of interval number of four parameters are converted into crisp data by continuous interval numbers of four parameters OWA（CFP-OWA） operator. Further- more, the overall values of every alternative are calculated based on the WCFP-OWA operator or WCFP-OWG operator and the best alternative is chosen by ranking the values. Finally, a practical example of evaluating exploration companies illustrates the efficiency and feasibility of the proposed method.

关 键 词：管理科学与工程 多准则决策方法 WCFP-OWA算子 WCFP-OWG算子 四参数区间数 

分 类 号：C934[经济管理—管理学]