摘要
针对不确定型条件下的多指标决策问题,利用三元区间数进行了研究。在定义三元区间数的基础上,给出了三元区间数的基本运算和排序关系,提出了一种基于客观赋权下的三元区间评判模型,通过最大隶属度得到最佳评判结果。建立了一种基于客观权重的投影决策排序模型,利用投影值得到最优排序,并用实例分析说明了评判模型和排序模型的实用性和有效性。应用结果表明,三元区间数为多指标决策问题提供了一种简单实用的有效分析方法。
This paper studied a kind of uncertain multiple attribute decision-making problems by interval numbers of three elements.Based on interval numbers of three elements,it gave the basic operation and priorities relations for interval numbers of three elements.It establishes the evaluation model for multiple attribute decision-making problems by deviation method,and proposes an optimization model for multiple attribute decision-making problems by information entropy.The two models provide a simple and practical method for multiple attribute decision-making problem.Finally,two numerical examples are given to show the feasibility and effectiveness of the method.
出处
《系统管理学报》
CSSCI
北大核心
2010年第1期25-30,共6页
Journal of Systems & Management
基金
合肥工业大学博士专项科研资助基金资助项目(GD-BJ2008-057)
合肥工业大学科学研究发展基金资助项目(081007F)
关键词
决策
三元区间数
评判
排序
decision-making
interval numbers of three elements
evaluation
priorities relations