信息不完全确定的大群体多准则语言决策方法[6p].pdfVIP

信息不完全确定的大群体多准则语言决策方法 王坚强 ( 中南大学商学院, 湖南长沙,410083) 摘 要：提出了一种准则权系数信息不完全确定且方案的准则值为确定语言等级或位于两个语言评价等级之间，甚至缺失 的大群体语言决策方法。该方法利用证据推理算法和二元语义进行准则集成，并结合决策者给出的准则权重的不完全确定信 息及方案与理想方案的二元语义间距离构建非线性规划模型，利用并行遗传算法求解得到准则权系数，计算得到相对不同决 策者的方案集成值，通过一致性建立模糊聚类模型，求解得到各决策者的权重，进而得到方案的排序。最后实例说明该方法 的可行性和有效性。 关键词 大群体多准则语言决策 ; 证据推理 ; 二元语义; 一致性；模糊聚类 Multi-criteria Large-group Linguistic Decision-making Approach with Incomplete Certain Information Wang Jian-qiang （School of Business ， Central South University ，Changsha, 410083 ，China） Abstract: For large-group multi-criteria decision-making problems with linguistic assessment information, a new method is proposed, in which the criteria ’s weights are incomplete certain, and the decision-makers ’ preference information may takes the form of linguistic grade, or may be between two standard linguistic grade ,or may be not given .By using the evidential reasoning algorithm and two-tuple, the criteria values of alternative for each decision-maker are integrated The nonlinear programming model is constructed based on the incomplete certain information on the criteria weights, and distances between alternatives and ideal alternative. And the optimal weights on criteria are gained by using parallel genetic algorithms to solve the nonlinear programming model. The integrating values of alternatives for each decision-maker are computed. By using group coherence, the fuzzy clustering model is constructed. After solving the fuzzy clustering model, the weights of decision-makers are attained. And the ranking of the alternatives is obtained. Finally an example is also given to show the feasibil