| TOPSIS方法在Vague集中的应用 |
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| 引用本文： | 张建胜,吴祈宗.TOPSIS方法在Vague集中的应用[J].北京理工大学学报,2006,26(10):937-940. |
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| 作者姓名： | 张建胜 吴祈宗 |
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| 作者单位： | 北京理工大学,管理与经济学院,北京,100081 |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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| 摘 要： | 研究属性值和权重皆为Vague值形式的逼近理想解的排序方法(TOPSIS). 根据Vague集的加法和乘法对属性值加权;根据记分函数确定理想解和负理想解;定义Vague集上的Hausdorff测度,据此度量各方案与理想解和负理想解的距离,在此基础上提出了属性值和权重同时表示赞成度和反对度的Vague集TOPSIS方法,并通过实际算例验证该方法的有效性.
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| 关 键 词： | Vague集 逼近理想解的排序方法(TOPSIS) 多属性决策 TOPSIS 排序方法 Vague 应用 Solution Ideal Similarity Preference Order Technique 有效性 验证 算例 赞成度 距离 方案 度量 测度 Hausdorff 负理想解 |
| 文章编号： | 1001-0645(2006)10-0937-04 |
| 收稿时间： | 01 19 2006 12:00AM |
| 修稿时间： | 2006年1月19日 |
Technique for Order Preference by Similarity to Ideal Solution(TOPSIS) Applied in Vague Sets |
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| ZHANG Jian-sheng and WU Qi-zong.Technique for Order Preference by Similarity to Ideal Solution(TOPSIS) Applied in Vague Sets[J].Journal of Beijing Institute of Technology(Natural Science Edition),2006,26(10):937-940. |
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| Authors: | ZHANG Jian-sheng and WU Qi-zong |
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| Institution: | School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | Technique for order preference by similarity to ideal solution(TOPSIS),whose attribute value and weight are Vague sets,is brought into Vague sets.Attribute value is weighted according to addition and multiplication of Vague sets.Positive and negative ideal solutions are based on Score function.The distance of both positive and negative metrics is defined the Hausdorff metrics based on Vague sets,thus developing the TOPSIS methods based on Vague sets.It is finally verified effectively by a case. |
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| Keywords: | Vague sets technique for order perference by similarity to ideal solution(TOPSIS) multi-attribute decision-making |
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