不确定多属性决策双目标组合赋权模型研究

中国管理科学 ›› 2012, Vol. ›› Issue (4): 104-108.

不确定多属性决策双目标组合赋权模型研究

王鹏飞, 李畅

安徽蚌埠汽车士官学校车辆管理系, 安徽蚌埠 233011

收稿日期:2011-03-04 修回日期:2012-03-07 出版日期:2012-08-29 发布日期:2012-08-29
基金资助:
国家社科基金军事学项目(11GJ003-059)

The Study of Multiple Attribute Decision Making Based on Bi-objective Combined Weights Model

WANG Peng-fei, LI Chang

Dept. of Automobile Management, Bengbu Automobile No-commissioned Officer Academy, Bengbu 233011, China

Received:2011-03-04 Revised:2012-03-07 Online:2012-08-29 Published:2012-08-29

摘要/Abstract

摘要： 本文提出了灰距离熵的概念,并把灰距离熵作为区间灰数相离度的一个度量标准,建立了不确定多属性决策属性值的灰距离熵离差最大化模型。并在此基础上, 讨论了基于灰距离熵和极大熵的双目标规划组合赋权模型。从而实现了决策属性区间权重向点值权重的转化。最后并结合具体实例,验证了模型的有效性。

关键词: 灰距离熵, 极大熵, 不确定多属性决策, 双目标组合赋权模型

Abstract: In this paper, the distance entropy of the interval grey number is defined, and grey number distance entropy is used as the measurement standard of interval grey number distance. The grey distance entropy maximizing deviations model of the attributes of uncertain multiple attribute decision making is build. Then the bi-objective combined weight model based on the grey distance entropy and maximum-entropy is discussed. There by the transformation from the interval weights to certain weights is achieved. At last an example is used to verify this effectiveness of the decision making method.

Key words: grey distance entropy, maximum-entropy, multiple attribute decision making, bi-objective combined weight model

中图分类号:

C931

王鹏飞, 李畅. 不确定多属性决策双目标组合赋权模型研究[J]. 中国管理科学, 2012, (4): 104-108.

WANG Peng-fei, LI Chang. The Study of Multiple Attribute Decision Making Based on Bi-objective Combined Weights Model[J]. Chinese Journal of Management Science, 2012, (4): 104-108.

参考文献

[1] 徐泽水. 不确定多属性决策方法及应用 [M]. 北京:清华大学出版社, 2004.
[2] Lee K,Park K S, Eum Y S,et al. Extended methods for identifying dominance and potential optimality in multicriteria analysis with imprecise information [J]. European Journal of Operational Research, 2001, 134(3): 557-563.
[3] 徐泽水. 区间数排序的可能度法及其应用 [J]. 系统工程与学报,2003, 18(1): 67-70.
[4] 徐泽水. 一种基于区间直觉判断矩阵的群决策方法 [J]. 系统工程理论与实践,2007, 27(4): 126-133.
[5] Chiclana F, Herrera-Viedma E, Herrera F, Alonso S. Induced ordered weighted geometric operators and their use in the aggregation of multiplicative preference relations [J]. International Journal of Intelligent Systems, 2004, 19(3): 233-255.
[6] 俞竹超, 尤天慧, 张尧等.一种指标权重信息不完全的多指标决策方法 [J]. 系统工程理论方法应用, 2005, 14 (6): 704-706.
[7] Xu Z S.Models for multiple attribute decision—making with intuitionist fuzzy information [J]. International Journal of Uncertain, Fuzziness and Knowledge-based systems,2007, 15(3): 285-297.
[8] 曾玲, 曾三云. 给出方案优先序的模糊多属性决策方法 [J].系统工程理论与实践, 2007, 27(5): 113-118.
[9] 汪新凡.基于三元联系数的不确定多属性决策方法 [J].系统工程与电子技术, 2007, 29(12): 2069-2071.
[10] 卫留贵, 魏宇.对方案有偏好的区问数多属性灰色关联决策模型 [J].中国管理科学, 2008, 16(1): 158-162.
[11] 梁昌勇, 顾东晓, 范昕等.面向不确定多属性决策问题的范例检索算法研究 [J].中国管理科学, 2009, 17(1): 132-137.
[12] 刘建, 刘思峰. 属性值为区间数的多属性决策对象排序研究 [J].中国管理科学, 2010, 18(3): 90-94.
[13] 王坚强,吴建文.基于区间灰色不确定语言的多准则决策方法 [J]. 中国管理科学, 2010, 18(3): 108-111.
[14] Qian Yuhua,Liang Jiye,Dang Chuangyin. Interval ordered information systems [J].Computers and Mathematics with Applications, 2008 (56): 1994-2009.
[15] Sayadi M K, Heydari M,Shahanaghi K. Extension of VIK0R method for decision making problem with interval numbers [J].Applied Mathematical Modeling, 2009,(33): 2257-2262.
[16] Sevastianov P.Numerical methods for interval and fuzzy number comparison based on the probabilistic approach and Dempster-Sharer theory [J]. Information Sciences, 2007, (177): 4645-4661.