| 应用直觉模糊熵研究模糊评价矩阵群决策 |
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| 引用本文： | 李侠,邹斌.应用直觉模糊熵研究模糊评价矩阵群决策[J].安徽广播电视大学学报,2013(1):116-120. |
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| 作者姓名： | 李侠 邹斌 |
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| 作者单位： | 1. 安徽财经大学商学院经济与金融系,安徽蚌埠,233041
2. 安徽广播电视大学,合肥,230022 |
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| 摘 要： | 基于直觉模糊熵提出了一种分析直觉模糊评价矩阵决策问题的新方法。利用直觉模糊熵定义指标权重矩阵,指标权重矩阵行向量满足概率分布公理化定义,结合相对熵优化模型得到了指标权重的最优解;通过专家提供的信息量结合相对熵模型得到专家客观权重,最后利用模糊互补判断矩阵与相对熵模型实现了备选方案之间的最优排序,最后给出一个实例,说明该方法的可行性和优越性。
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| 关 键 词： | 直觉模糊集 模糊熵 群决策 模糊评价矩阵 相对熵 |
Group Decision Making Model Based on Fuzzy Appraisal Matrix by Intuitionistic Fuzzy Entropy |
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| LI Xia
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ZOU Bin.Group Decision Making Model Based on Fuzzy Appraisal Matrix by Intuitionistic Fuzzy Entropy[J].Journal of Anhui Television University,2013(1):116-120. |
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| Authors: | LI Xia ZOU Bin |
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| Institution: | 1.Business Institute,Anhui University of Finance and Economics,Bengbu Anhui 233041,China; 2 Anhui Radio and TV University,Hefei 230022,China) |
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| Abstract: | The problem of decision making based on intuitionistic fuzzy appraisal matrix is investigated based on a new definition of intuitionistic fuzzy entropy in the paper.Firstly,the matrix of the index is defined by intuitionistic fuzzy entropy,then the index optimal structure is constructed based on the relative entropy.Then combining the information provided by the experts and the relative entropy,the experts＇ objective ratio is got.Then the optimal sorting of the alternatives is realized by fuzzy complementary judgement matrix and the model of the relative entropy.Finally,a practical example is shown on the feasibility and superiority of the proposed approach. |
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| Keywords: | intuitionistic fuzzy set fuzzy entropy group decision making fuzzy appraisal matrix relative entropy |
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