基于区间直觉模糊的动态多属性灰色关联决策方法
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作者单位:

1. 南京航空航天大学经济与管理学院,南京211106;2. 宾州州立SR 大学数学系,宾夕法尼亚16057

作者简介:

刘勇

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中图分类号:

N94

基金项目:

国家自然科学基金项目;国家自然科学基金项目;国家自然科学基金项目;国家教育部博士学科点基金


Dynamic multiple attribute grey incidence decision making mothed based
on interval valued intuitionisitc fuzzy number
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Affiliation:

1. College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing
211106,China;2. Mathematics Department,Slippery Rock University of USA,Pennsylvania 16057,USA.

Fund Project:

the National Nature Science Foundation of China;the National Nature Science Foundation of China;the National Nature Science Foundation of China

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    摘要:

    针对属性值为区间直觉模糊数且属性权重未知的一类决策问题, 利用灰色关联分析方法的思想, 构建了一
    种动态区间直觉模糊数多属性决策方法. 首先利用区间直觉模糊数的运算法则和性质设计各时间段的正负理想方
    案, 并以与正理想方案灰色关联度偏差最小化为目标构建了多目标规划模型, 确定属性权重; 然后通过计算各时间段
    各方案对正、负理想方案的区间直觉模糊数的灰色关联度, 构建方案优属度模型, 并求解方案优属度的表达式, 确定
    方案的优势度; 最后通过一个案例验证了所提出的构建方法的有效性和可行性.

    Abstract:

    For the decision making problem that the attribute value is interval valued intuitionisitc fuzzy number and the
    attribute weights are unknown, a dynamic multiple attribute decision making method with interval valued intuitionisitc fuzzy
    number based on the grey incidence analisis is proposed. Firstly, the algorithms and properties of the interval valued
    intuitionisitc fuzzy number are used to construct the positive and negative ideal scheme for each time period, and tthe
    multi-objective programming model with the minimum deviation of the grey incidence degree between each scheme and the
    positive ideal scheme for each stage is built to determine the attribute weights. Then the grey incidence each stage degree with
    interval valued intuitionisitc fuzzy number between each scheme and the positive and negative ideal scheme for each stage is
    calculated to eastablish the optimization model of the optimal membership degree for scheme, so that the expressions form
    of the optimal membership degree for scheme is determined to solve the optimal membership degree for scheme. Finally, an
    example validates the feasibility and effectiveness of the proposed model.

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引用本文

刘勇, Jeffrey Forrest, 刘思峰,等.基于区间直觉模糊的动态多属性灰色关联决策方法[J].控制与决策,2013,28(9):1303-1308

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  • 收稿日期:2012-04-26
  • 最后修改日期:2012-08-08
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  • 在线发布日期: 2013-09-20
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