| 灰色面板数据视域下的相似性和接近性关联度模型拓展 |
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| 引用本文： | 蒋诗泉,刘思峰,刘中侠,方志耕.灰色面板数据视域下的相似性和接近性关联度模型拓展[J].运筹与管理,2019,28(4):163-168. |
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| 作者姓名： | 蒋诗泉 刘思峰 刘中侠 方志耕 |
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| 作者单位： | 1.铜陵学院 数学与计算机学院,安徽 铜陵 244000;2.南京航空航天大学 经济与管理学院,江苏 南京 210016 |
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| 基金项目： | 安徽省教学研究重点项目(2017JYXM0464);安徽省高校人文社会科学重点研究项目(SK2017A053);铜陵学院校级科研项目(2016tlxy02);铜陵学院校级教研项目(2017xj026) |
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| 摘 要： | 灰色面板数据包含研究对象诸多信息,由于数据类型和结构较为复杂,目前还没有测度其相似性和接近性的关联度模型,针对这一问题。首先,通过投影方法将灰色面板数据转化为样本关于指标的时间序列行为矩阵,矩阵每行为指标的时间序列;然后,定义一般灰数的距离测度和运算法则;最后,基于两折线间斜率与面积的视角,测度相似性和接近性关联系数。进而构建灰色面板数据的相似性和接近性关联度模型,并研究了该模型的性质。实例表明该模型在测度面板数据类型为一般灰数时的相似性和接近性方面具有良好的效果。
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| 关 键 词： | 一般灰数 灰色面板数据 相似性与接近性 关联度 斜率与面积 |
| 收稿时间： | 2017-08-14 |
Expansion in the Relational Model of Similarity and Nearness in the View of Grey Panel Data |
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| JIANG Shi-quan,LIU Si-feng,LIU Zhong-xia,FANG Zhi-geng.Expansion in the Relational Model of Similarity and Nearness in the View of Grey Panel Data[J].Operations Research and Management Science,2019,28(4):163-168. |
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| Authors: | JIANG Shi-quan LIU Si-feng LIU Zhong-xia FANG Zhi-geng |
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| Affiliation: | 1.College of Mathematics and Computer Science, Tongling University, Tongling 244000, China;2.College of Economic and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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| Abstract: | Grey panel data contain much information of the research object. Because the data type and structure are more complex, there is no correlation degree model to measure its similarity and proximity. Concerning this issue, the grey panel data are transformed into the time series behavior matrix of the sample by the projection method, and each line of the matrix is similar to the one dimension time series.Then, we define the distance measure and operation rule of the general grey number. Finally, similarity and nearness correlation coefficients are measured based on the perspective of slope and area of two fold line. Thus, the similarity and nearness relation degree model is constructed based on the grey panel data , and the properties of the model are studied. An example shows that the model has good effects on the similarity and nearness of the panel data type where the data are general grey numbers. |
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| Keywords: | general grey number grey panel data similarity and nearness incidence degree slope and area |
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