基于投影模型的区间不同形式偏好信息的群体决策方法  

Approach to Group Decision-making with Interval Different Forms of Preference Information Based on Projection Model

作　　者：曹清玮[1] 梁昌勇[1] 吴坚[1] 丁勇[1] 

机构地区：[1]合肥工业大学管理学院,安徽合肥230009

出　　处：《运筹与管理》2009年第2期20-24,共5页Operations Research and Management Science

基　　金：国家自然科学基金重点资助项目(70631003);国家自然科学基金资助项目(70771037)

摘　　要：研究了决策者的偏好信息以区间互反判断矩阵和区间互补判断矩阵形式给出的群决策问题。首先将区间互反判断矩阵转换为区间互补判断矩阵;然后利用可能度计算公式得到相应的模糊判断矩阵,并得到各个专家的排序向量;然后基于投影模型将各个专家的排序向量规范化为群体最优排序向量。最后通过算例说明该方法的可行性和有效性。The group decision-making problems with the preference information about the alternatives provided by the decision makers in the forms of interval multiplication judgement matrix and interval reciprocal judgement matrix is studied. Firstly, the interval multiplication judgement matrix is unified into the interval reeiproeal judgement matrix. Secondly, the corresponding reeiproeal judgement matrix ean be obtained aeeording to the possibility degree computational formula and the preference information provided by every decision maker can be obtained. Then, based on the projection model, the above preference information is aggregated into the most optimal priority vector. Finally, a numerical example is given to verify the develop ment approach and to demonstrate its feasibility and practicality.

关 键 词：群决策 区间互反判断矩阵 区间互补判断矩阵 投影模型 

分 类 号：C934[经济管理—管理学]