摘要
针对决策者具有格序偏好结构的群决策问题,提出了一种基于偏好距离测度的群决策方法。该方法定义了格上偏好关系的一种距离测度,并算出二元关系之间的距离;利用偏好关系之间的距离建立一数学模型,结合优先原则和集结规则将个人偏好集结成群体偏好,并将该决策方法推广到专家权重信息不能完全确定的情况。给出了应用该方法的具体步骤,举例说明了该方法的可行性。
A method of group decision-making problem based on preference distance is proposed,when the preference information is provided by decision maker with lattice preference structure.The distance of preference relation based on lattice order is defined,and the distance between binary relations are calculated.Using the distance of preference relation,a mathematical model is established,the individual preferences are aggregated by applying the priority rules and intersection rule,and the group＇s preference structure has partial order characteristic.The decision-making method is applied into the decision makers＇ power with incomplete certain information.The feasibility and effectiveness of the method are illustrated with a numerical example.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2010年第2期298-302,共5页
Systems Engineering and Electronics
基金
国家自然科学基金(70771093
70371026)资助课题
关键词
群决策
偏好关系
偏好距离
格序
group decision-making
preference relation
preference distance
lattice order
