| 基于Hausdorff距离的直觉模糊多属性决策的TOPSIS方法 |
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| 引用本文： | 张从海.基于Hausdorff距离的直觉模糊多属性决策的TOPSIS方法[J].合肥学院学报(自然科学版),2014(2):20-22. |
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| 作者姓名： | 张从海 |
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| 作者单位： | 马鞍山市委党校财务处; |
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| 基金项目： | 安徽省教育厅人文社科基金项目(SK2012B579)资助 |
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| 摘 要： | 传统的TOPSIS方法在考察目标方案与正、负理想方案的距离时多采用欧氏距离来度量.用Hausdorff距离替换欧氏距离,并用其来度量直觉模糊集（IFS）之间的距离,进而建立相对贴近度的概念,由此对目标方案进行排序、择优.实证分析结果表明该方法有效、实用,在直觉模糊多属性决策中,该方法比欧氏距离方法要简单,但计算结果完全一致.
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| 关 键 词： | Hausdorff距离 相对贴近度 直觉模糊集 TOPSIS方法 多属性决策 |
A Method of TOPSIS in Intuitionistic Fuzzy Multiattribute Decision Making Based on Hausdorff Distance |
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| ZHANG Cong-hai.A Method of TOPSIS in Intuitionistic Fuzzy Multiattribute Decision Making Based on Hausdorff Distance[J].Journal of Hefei University :Natural Sciences,2014(2):20-22. |
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| Authors: | ZHANG Cong-hai |
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| Institution: | ZHANG Cong-hai (Bursary, Ma＇anshan Municipal Party Committee Party School, Ma＇anshan, Anhui 243011, China) |
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| Abstract: | The traditional TOPSIS method use Euclid distance to evaluate the distance between the ideal design and negative design. This paper proposes Hausdorff distance to replace Euclid distanc. By introducing this method,the distance between two intuitionistic fuzzy sets is calculated. Then establish the relative similarity scale,which to compare the aim designs. An example is given to illustrate the validity and feasibility of the proposed method. |
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| Keywords: | Hausdorff distance relative similarity scale intuitionistic fuzzy set TOPSIS methods multiattribute decision making |
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