摘要
针对属性值为区间数的多属性决策中不同区间数相互比较具有相同可能度的问题进行研究。根据决策者不同的风险偏好将其分为3类,对不同风险偏好类型的决策者提出相应的预期理论模型,确定区间数之间的优势关系。在此基础之上,提出决策对象优势关系及优势度矩阵,并根据优势度数值对决策对象进行排序择优。最后,通过实例验证新排序算法的科学性与有效性。
In view of the problem that different interval numbers have the same possibility degree values in multiple criteria decision making(MCDM) with interval numbers,the decision makers are divided into three different types according to their risk preferences,and three risk preferences assumption models corresponding to different type decision makers are proposed to determine the advantage relation for interval numbers.Then the advantage relation of the alternatives and advantage degree matrix are proposed to rank all the alternatives as well as select the best one based on the advantage degree values of the alternatives.Finally,a realistic example is used to demonstrate that the proposed ranking technology is a useful and effective tool.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2012年第5期977-981,共5页
Systems Engineering and Electronics
基金
国家自然科学基金(70971064
70971062
71171107)
国家社会科学基金重点项目(08AJY024)资助课题
关键词
多属性决策
区间数
预期理论
优势关系
优势矩阵
multiple criteria decision making(MCDM)
interval number
prospect theory
advantage relation
advantage matrix