| 区间直觉模糊集的多属性综合评价新方法． |
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| 引用本文： | 李侠,邹斌.区间直觉模糊集的多属性综合评价新方法．[J].合肥联合大学学报,2013(1):4-7. |
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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,安徽蚌埠233041 [2]安徽广播电视大学教育科学学院,合肥230022 |
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| 基金项目： | 安徽财经大学2013年度校级科研一般项目（ACKY1334）资助. |
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| 摘 要： | 针对研究对象属性值为区间直觉模糊集形式的多属性决策问题，提出了一种利用区间直觉模糊熵确定属性权重并进行综合评价的方法．该方法的基本思路：用区间直觉模糊熵来定义各方案在不同属性下的权重，将各方案对应的权重视为一种概率分布，基于这种假设利用相对熵集结模型得到区间直觉模糊集的客观优化权重．最后给出了一个算例，说明了该方法的可行性和优越性．
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| 关 键 词： | 区间直觉模糊集 模糊熵 权重 相对熵 综合评价 |
A Method of Multi-attribute Comprehensive Evaluation Based on Interval-valued Intuitionistic Fuzzy Sets |
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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, 2. Department of Education and Science, Anhui Radio and TV University, Hefei 230022, China) |
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| Abstract: | The problem of multi-attribute decision making based on interval-valued intuitionistic fuzzy set is investigated by introducing a new method of determining weights based on interval-valued intuitionistic fuzzy entropy in the paper. The basic idea of the method is that weights of different atrributes of every alternative are determined by interval-valued intuitionistic fuzzy sets, then introducing the model of relative entropy to construct the attribute optimal weights based on the characteristics of the axiomatic definition of the probability distribution which the row vectors of the attribute weights matrix are satisfied with. Finally, a practical example was shown to the feasibility and superiority of the proposed approach. |
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| Keywords: | interval-valued intuitionistic fuzzy set fuzzy entropy weight relative entropy comprehensive evaluation |
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