部分指标权重信息下的区间数多指标决策方法.pdfVIP

40 10 V ol140 No1 10 2 0 0 8 10 JOURNAL OFHARBIN INSTITUTE OF TECHNOLOGY Oct. 2008 , ( , 110004, E- ail: yzhang@ ail. neu. edu. cn) : 针对指标权重信息部分已知部分未知且指标值为区间数形式的多指标决策问题, 提出 一种决策分 方法. 在对具有部分指标权重信息的区间数多指标决策问题进行数学描述的基础上,依据传统的理想点方 法的基本思路, 给出解决指标权重信息不完全的区间数多属性决策问题的计算步骤, 其核心是通过构建最优 化模型, 得到每 个方案与正理想点负理想点的差异值, 进而通过计算出相对接近度, 即可得到所有方案的排 序结果. 通过 一个算例说明该方法的实用性和有效性. : 多指标决策; 指标权重; 区间数; 最优化模型 : C 934; N 945125 : A : 0367- 6234( 2008) 10- 1672- 05 A m ethod for intervalm ultiple attribute decision making with partial attribute weight information ZHANG Yao, FAN Zhi-ping ( School ofBusinessAd inistration, NortheasternUniversity, Shenyang 110004, China, E- ail: yzhang@ ai.l neu. edu. cn) Abstract: W ith respect to interval ultiple attribute decision aking proble sw ith partial infor ation of a-t tributeweights, a decision analysis ethod is proposed. The interval ultiple attribute decision aking prob- le w ith partial infor ation of attributeweightswas introduced, and based on the traditionalTOPSIS (Tech- nique forOrderPreferenceby Si ilarity to IdealSolution) ethod, calculation steps for solving interval ult-i ple attribute decision aking proble sw ith partial infor ation of attributeweightsweregiven. In the ethod, an opti ization odelwas constructed to deter ine deviation each between each alternative and the positive and negative idealpoint. According to the deviation values, the relative closenesswas calculated to rank alter- natives. A nu erical exa plewas used to illustrate the practicality and effectiveness of the proposed ethod. K ey words: ultiple attribute decision aking; attributeweight; intervalnu ber; opti ization odel