| 基于灰色理想解法的模糊多属性决策方法研究 |
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| 引用本文： | 杜俊慧,魏法杰.基于灰色理想解法的模糊多属性决策方法研究[J].中北大学学报,2008,29(6). |
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| 作者姓名： | 杜俊慧 魏法杰 |
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| 作者单位： | 北京航空航天大学经济管理学院;中北大学经济与管理学院; |
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| 摘 要： | 针对方案评估中属性信息的模糊性,提出了一种基于熵权和灰色理想解法的决策方法.该方法先将属性的模糊信息转化为三角模糊数,再利用三角模糊数的性质和信息熵的思想,求出属性的熵权.然后,用灰色理论对传统理想解法进行拓展,将灰色关联度和欧氏距离有机结合构造出一种相似接近度对方案进行评价.相似接近度同时反映了方案与正负理想方案之间的位置和数据曲线的相似性差异,这种方法使其物理意义更加明确.通过算例说明了方法的可行性和有效性.
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| 关 键 词： | 理想解法 熵权 灰色关联度 模糊多属性决策 |
Study on the Approach of Fuzzy Multi-Attribute Decision Making Based on Degree of Grey Incidence and TOPSIS |
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| DU Jun-hui,WEI Fa-jie.Study on the Approach of Fuzzy Multi-Attribute Decision Making Based on Degree of Grey Incidence and TOPSIS[J].Journal of North University of China,2008,29(6). |
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| Authors: | DU Jun-hui WEI Fa-jie |
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| Affiliation: | DU Jun-hui1,2,WEI Fa-jie1 (1.School of Economics , Management,Beijing University of Aeronautics & Astronautics,Beijing 100083,China,2.School of Economics , Management,North University of China,Taiyuan 030051,China) |
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| Abstract: | Aimed at the fuzziness of scheme evaluation,a new decision making method based on entropy weight and gray TOPSIS is presented.The fuzzy information of the attribute is firstly transformed to the triangular fuzzy numbers.According to the characters of triangular fuzzy numbers and the entropy,each attribute weight is worked out.Then,the traditional TOPSIS is improved by grey theory,a new kind of similar approach degree is established by combining the Euclidean distance with grey correlation degree to appraise... |
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| Keywords: | TOPSIS entropy weight degree of grey incidence FMADM |
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