| 基于区间灰数信息的广义关联度模型(英文) |
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| 引用本文： | 谢乃明,郑静,辛江慧. 基于区间灰数信息的广义关联度模型(英文)[J]. 南京航空航天大学学报(英文版), 2012, 29(2): 118-124 |
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| 作者姓名： | 谢乃明 郑静 辛江慧 |
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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,中国
2. 南京工程学院车辆工程系,南京,211167,中国 |
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| 基金项目： | 国家自然科学基金，国家社会科学基金资助项目，国家自然科学基金与英国皇家学会交流基金，教育部博士点基金，江苏省青年教师青蓝工程资助项目，南京航空航天大学中央高校科研经费 |
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| 摘 要： | 针对传统广义关联度模型在灰数信息背景下的拓展问题展开研究,构建了一类基于区间灰数信息的广义关联度模型。考虑现实背景下众多实际问题的元素值信息难以准确获取,采用区间灰数表征不确定信息,并将灰元信息划分成白部和灰部。在此基础上给出了基于灰数信息的广义关联度模型的求解算法。最后采用商用飞机成本指标选择问题进行实证分析说明模型的有效性。结果表明,该模型能够很好地对指标进行排序,对拓展灰色关联模型有一定的借鉴意义。
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| 关 键 词： | 灰色系统 灰色关联分析 标准区间灰数 绝对关联度 相对关联度 |
NOVEL GENERALIZED GREY INCIDENCE MODEL BASED ON INTERVAL GREY NUMBERS |
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| Xie Naiming , Zheng Jing , Xin Jianghui. NOVEL GENERALIZED GREY INCIDENCE MODEL BASED ON INTERVAL GREY NUMBERS[J]. Transactions of Nanjing University of Aeronautics & Astronautics, 2012, 29(2): 118-124 |
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| Authors: | Xie Naiming Zheng Jing Xin Jianghui |
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| Affiliation: | 1.College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing,211106,P.R.China;2.Department of Vehicle Engineering,Nanjing University of Technology,Nanjing,211167,P.R.China) |
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| Abstract: | To extend the traditional generalized grey incidence model,a novel grey incidence model based on interval grey numbers is constructed.Considering the numerical information of indexes cannot be accurately obtained and can be defined as interval grey numbers,the interval grey numbers are defined as standard interval grey numbers which are split in white part and grey part.The absolute degree of incidence and relative degree of incidence based on the interval grey numbers are constructed and their arithmetic are given.Finally,an example about commercial aircraft index selection illuminates the effectiveness of the model.The results show that the model can sort indexes better and can extend the grey incidence models significantly. |
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| Keywords: | grey system grey incidence analysis standard interval grey number absolute degree of incidence relative degree of incidence |
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