一种信息不完全确定的多准则语言群决策方法.pdfVIP

一种信息不完全确定的多准则语言群决策方法 王坚强 ( 中南大学商学院, 湖南长沙,410083) 摘 要：针对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连续语言等级之间，甚至缺失 的群决策问题，提出一种群体语言决策方法。该方法利用证据推理算法得到方案属于各语言等级的信任度，利用 二元语义对方案进行语言集结，然后结合决策者和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的 距离构建非线性规划模型，利用遗传算法求解所得模型，计算得到各方案的排序。实例计算表明了该方法的可行 性和有效性。 关键词 群决策 ; 证据推理 ; 二元语义; 语言评价 中图分类号：C934 文献标识码：A Group Multi-criteria Linguistic Decision-making Method with Incomplete Certain Information Wang Jian-qiang （School of Business ， Central South University ，Changsha, 410083，China） Abstract: As concerning group decision-making problems with linguistic assessment information, a new method based on evidential reasoning (ER) and two-tuple is proposed, in which the decision-makers’ weights and 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 continuous linguistic grade ,or may be not given . With the ER algorithm, the belief degrees of each alternative belonging to each linguistic grade are worked out, and then be transformed into two-tuple which is also the result of aggregating each alternative. The nonlinear programming model is constructed based on the incomplete certain information on the decision makers’ weights and criteria weights, and distances between alternatives and ideal alternative. And the optimal weights on decision-maker and criteria are gained by using genetic algorithms to solve the nonlinear programming model. The distances between alternatives and ideal alternative are computed and the rank of the alternatives is obtained. An example shows the feasibility and effectiveness of the proposed method. Keywords: group decision-ma