| 灰色异构数据信息下的随机多准则决策方法 |
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| 引用本文： | 罗党,刘敏.灰色异构数据信息下的随机多准则决策方法[J].控制与决策,2018,33(12):2227-2233. |
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| 作者姓名： | 罗党 刘敏 |
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| 作者单位： | 华北水利水电大学数学与统计学院，郑州450046,华北水利水电大学数学与统计学院，郑州450046 |
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| 基金项目： | 国家自然科学基金项目(71271086)；河南省高等学校重点科研项目(18A630030)；河南省科技攻关计划项目(182102310014)；河南省研究生教育优质课程项目. |
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| 摘 要： | 针对准则值为灰色异构数据的随机多准则决策问题,提出一种基于核和灰度的灰色随机多准则决策方法.首先给出扩展灰数的灰度和灰色异构数据集的定义;然后,遵循信息充分利用原则,结合灰色异构数据共有的特性,定义灰色异构数据的核向量和灰度向量,进而构造一致性系数几何平面模长排序法和相对折衷距离排序法.实例分析表明了所提出方法的有效性和合理性.
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| 关 键 词： | 灰色异构数据 一致性系数 几何平面模长 相对折衷距离 多准则决策 |
| 收稿时间： | 2017/7/15 0:00:00 |
| 修稿时间： | 2018/5/13 0:00:00 |
Stochastic multiple criteria decision-making method with grey heterogeneous data information |
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| LUO Dang and LIU Min.Stochastic multiple criteria decision-making method with grey heterogeneous data information[J].Control and Decision,2018,33(12):2227-2233. |
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| Authors: | LUO Dang and LIU Min |
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| Affiliation: | School of Mathematics and Statistics,North China University of Water Resource and Electric Power,Zhengzhou 450046,China and School of Mathematics and Statistics,North China University of Water Resource and Electric Power,Zhengzhou 450046,China |
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| Abstract: | A grey stochastic multiple criteria decision-making method based on the kernel and degree of greyness of grey heterogeneous data is proposed for the stochastic multiple criteria decision problem with criterion value as grey heterogeneous data. The definitions of greyness of the extended grey number and grey heterogeneous data sets are given. Then, the kernel vector and greyness vector of grey heterogeneous data are defined according to the principle of information utilization and combining with the common characteristics of grey heterogeneous data. Furthermore, the consistency coefficient geometric plane die length sorting method and the relative compromise distance sorting method are constructed. An illustrative example illustrates the effectiveness and rationality of the proposed approach. |
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