[1]于永生,刁联旺.区间数多属性决策的Monte Carlo方法[J].东南大学学报(自然科学版),2008,38(1):187-190.[doi:10.3969/j.issn.1001-0505.2008.01.036]
 Yu Yongsheng,Diao Lianwang.Monte Carlo method for interval multi-attribute decision-making[J].Journal of Southeast University (Natural Science Edition),2008,38(1):187-190.[doi:10.3969/j.issn.1001-0505.2008.01.036]
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区间数多属性决策的Monte Carlo方法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
38
期数:
2008年第1期
页码:
187-190
栏目:
其他
出版日期:
2008-01-20

文章信息/Info

Title:
Monte Carlo method for interval multi-attribute decision-making
作者:
于永生1 刁联旺12
1 中电集团第28研究所C4ISR技术国防科技重点实验室, 南京 210007; 2 蚌埠坦克学院装备运用系, 蚌埠 233013
Author(s):
Yu Yongsheng1 Diao Lianwang12
1 C4ISR Technology National Defense Science and Technology Key Laboratory, the 28th Research Institute of CETC, Nanjing 210007,China
2 Department of Equipment Application, Bengbu Tank College, Bengbu 233013,China
关键词:
多属性决策 区间数 Monte Carlo法 可能度
Keywords:
multi-attribute decision-making interval number Monte Carlo method possibility
分类号:
C934;N94
DOI:
10.3969/j.issn.1001-0505.2008.01.036
摘要:
定义了新的方案比较的可能度.对于属性值以区间数形式给出的区间型多属性决策问题,提出了一种新的决策方法.该方法无需计算方案综合评价值的概率分布,只要已知各方案各属性值的概率分布即可对区间数进行比较和排序,具有简洁、直观、易于计算的特点.最后通过假定方案各属性值服从均匀分布的实例对方法的有效性和实用性进行了说明.
Abstract:
A new possibility degree for comparing two projects is defined. A new method is proposed for interval multi-attribute decision-making, in which the attribute values are in the form of interval numbers. The method can compare and rank interval numbers, and avoid computing the probability distribution of integral evaluation values, if all attribute values’ distributions are known. It is straightforward and can be performed on computer easily. Finally, an illustrative example, which assumes all attribute values’ distributions are uniformed, is given to demonstrate the feasibility and practicability of the proposed method.

参考文献/References:

[1] Bryson N,Mobilizing A.Action learning evaluation procedure for multiple criteria decision making problems[J]. European Journal of Operational Research,1996,96(2):379-386.
[2] 吴江,黄登仕.区间数排序方法研究综述[J].系统工程,2004,22(8):1-4.
  Wu Jiang,Huang Dengshi.An review on ranking methods of interval numbers[J].Systems Engineering,2004,22(8):1-4.(in Chinese)
[3] 周光明,刘树人.不确定多属性决策中区间数的一种新排序法[J].系统工程,2006,24(4):115-117.
  Zhou Guangming,Liu Shuren.A new ranking method for interval numbers in uncertain multiple attribute making decision problems[J]. Systems Engineering,2006,24(4):115-117.(in Chinese)
[4] 张全,樊治平,潘德惠.区间数多属性决策中一种带有可能度的排序方法[J].控制与决策,1999,14(6):703-708.
  Zhang Quan,Fan Zhiping,Pan Dehui.A ranking approach with possibilities for multiple attribute decision making problems with intervals[J].Control and Decision,1999,14(6):703-708.(in Chinese)
[5] 徐泽水,达庆利.区间数排序的可能度法及其应用[J].系统工程学报,2003,18(1):67-71.
  Xu Zeshui,Da Qingli.Possibility degree method for ranking interval numbers and its application[J].Journal of Systems Engineering,2003,18(1):67-71.(in Chinese)
[6] 徐泽水,达庆利.区间型多属性决策的一种新方法[J].东南大学学报:自然科学版,2003,33(4):497-501.
  Xu Zeshui,Da Qingli.New method for interval multi-attribute decision-making[J]. Journal of Southeast University: Natural Science Edition,2003,33(4):497-501.(in Chinese)
[7] 徐泽水.不确定性多属性决策方法与应用[M].北京:清华大学出版社,2004:106-150.
[8] de Meyer H,de Baets B,de Schuymer B.On the transitivity of the comonotonic and countermonotonic comparison of random variables[J].Journal of Multivariate Analysis,2007,98(1):177-193.
[9] de Schuymer,de Meyer H,de Baets B.Cycle-transitive comparison of independent random variables[J]. Journal of Multivariate Analysis,2005,96(2):352-373.
[10] Ross Sheldon M.Simulation [M].Singapore:Elsevier Pte Ltd,2007:41-48.

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备注/Memo

备注/Memo:
作者简介: 于永生(1955—),男,研究员.
基金项目: 总装备部“十一五”预研课题资助项目(513060302).
引文格式: 于永生,刁联旺.区间数多属性决策的Monte Carlo方法[J].东南大学学报:自然科学版,2008,38(1):187-190.
更新日期/Last Update: 2008-01-20