摘要
针对区间数的多属性决策问题,首先将决策者的主观偏好信息所隐含的属性权重通过一个线性规划模型计算出来;其次基于模糊集理论,借助每一方案与理想和劣等方案的综合加权距离,求得每个方案相对于优等方案的相对隶属度,提出了基于理想解的区间数多属性决策的相对隶属度法对方案进行择优和排序,从而较好地确定了属性的权重,且所提出的方法具有更强的排列能力.最后通过算例说明方法的可行性和实用性.
For solving the multi-attribute decision-making problem whose attribute values are interval numbers,a new method--relative membership degree method is presented.Firstly,the attribute weights which imply the subjective preference of the decision maker are calculated by establishing a linear programming model;and then the relative membership degrees of every optional schemes to ideal scheme are calculated by means of the comprehensively weighted distances between each scheme and the ideal scheme and the worst scheme separately based on fuzzy-set theory;finally,the relative membership degrees are sorted from the greatest one to the least one.The greater the relative membership degree,the better the corresponding scheme.Therefore,the scheme with greatest relative membership degree is the best one.A case is presented for illustrating the feasibility and the practicability of the proposed method.
出处
《西安石油大学学报(自然科学版)》
CAS
北大核心
2009年第4期99-102,共4页
Journal of Xi’an Shiyou University(Natural Science Edition)
基金
国家自然科学基金资助项目(编号:60703118)
陕西省教育厅自然科学研究基金资助项目(编号:08JK254)
陕西理工学院人才启动科研基金项目(编号:SLGQD0802)
关键词
区间数
多属性决策
理想解
相对隶属度
排序
interval number
multi-attribute decision-making
ideal solution
relative membership degree
sorting