多方参与决策且指标集有差异的方案排序方法  

Method for ranking alternatives considering multi-person decisionmaking and different index sets

作　　者：李铭洋[1,2] 樊治平[1] 尤天慧[1] 

机构地区：[1]东北大学工商管理学院,沈阳110819 [2]沈阳化工大学数理系,沈阳110142

出　　处：《控制与决策》2013年第6期849-854,共6页Control and Decision

基　　金：国家自然科学基金项目(71271051;71271049);教育部人文社会科学研究规划基金项目(11YJA630180);中央高校基本科研业务费专项资金项目(N110706001)

摘　　要：针对多方参与决策且指标集有差异的群体决策问题,提出一种基于模糊软集理论的方案排序方法.依据各方决策者所考虑的指标参数和打分值信息给出多方决策信息的模糊软集表示方法,并利用模糊软集的且运算得到综合各方决策者所考虑指标参数的新模糊软集及其隶属度矩阵;然后在考虑指标权重的前提下构建关于方案的加权比较矩阵,进而通过计算得出的各方案优势度确定方案的排序结果;最后,通过一个算例表明了所提出方法的可行性和有效性.@@@@A method for ranking alternatives based on the fuzzy soft set theory is proposed to solve multi-person decision-making problems with difference of index sets. According to the parameters considered by decision makers and scores given by decision makers, the fuzzy soft sets of multi-person decision information are constructed. Then new fuzzy soft sets integrating with index parameters considered by decision makers can be obtained by “AND” operation, meanwhile new membership matrix can be constructed. Furthermore, the weighted comparison matrix between alternatives is established by considering index weight. By this way, the dominance degree of alternatives can be calculated, and all the alternatives are ranked according to the total dominance degree. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method.

关 键 词：多方参与决策 软集 模糊软集 比较矩阵 方案排序 

分 类 号：C934[经济管理—管理学]