| 一种基于模糊推理的因素权重确定方法 |
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| 引用本文： | 刘宏兵,郭红建,刘道华. 一种基于模糊推理的因素权重确定方法[J]. 大学数学, 2006, 22(3): 139-143 |
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| 作者姓名： | 刘宏兵 郭红建 刘道华 |
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| 作者单位： | 信阳师范,学院,河南,信阳,464000;武汉理工大学,计算机科学与技术学院,武汉,430070;信阳师范,学院,河南,信阳,464000 |
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| 基金项目： | 河南省自然科学基金项目(0411012100)，河南省教育厅自然科学基金项目 |
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| 摘 要： | 在模糊综合评价中,如何确定因素的权重是非常重要的,也是非常困难的,它直接关系到评价结果的合理性与真实性.利用模糊推理技术,提出了一种基于模糊推理的因素权重确定方法,其利用人们处理复杂问题的逻辑思维方式,建立评价空间和单位评价空间的映射,得到模糊关系方程并用于确定因素的权重.实验结果表明,利用该模型得到的权重能反映各因素的重要性,用其对待评对象进行模糊综合,其结果也是合理的.
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| 关 键 词： | 模糊推理 因素权重 模糊综合评价 模糊关系方程 |
| 文章编号： | 1672-1454（2006）03-0139-05 |
| 收稿时间： | 2005-02-28 |
| 修稿时间： | 2005-02-28 |
A Method for Factor Weight Decision Based on Fuzzy Reasoning |
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| LIU Hong-bing,GUO Hong-jian,LIU Dao-hua. A Method for Factor Weight Decision Based on Fuzzy Reasoning[J]. College Mathematics, 2006, 22(3): 139-143 |
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| Authors: | LIU Hong-bing GUO Hong-jian LIU Dao-hua |
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| Abstract: | In fuzzy comprehensive evaluation,how to decide factor weights is very important but difficult,which involves the rationality and authenticity of eveluation results.A method for weight decision based on fuzzy reasoning is presented using fuzzy reasoning technology.Utilizing the logic thought mode of dealing with the complicated problems of people,we establish fuzzy mapping between evaluation space and identity eveluation space.Thus fuzzy relation equation is formed and used to decide the weight of factors.The experimental result indicates,the weight obtained by utilizing this model can reflect the importance of factors,by which the results of fuzzy comprehensive evaluation are rational too. |
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| Keywords: | fuzzy Reasoning factor weight fuzzy comprehensive evaluation fuzzy relational equation |
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