| 一种基于模糊集值统计的集对预测方法 |
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| 引用本文： | 孙晋众,陈世权. 一种基于模糊集值统计的集对预测方法[J]. 模糊系统与数学, 2009, 23(3) |
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| 作者姓名： | 孙晋众 陈世权 |
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| 作者单位： | 北京航空航天大学,经济管理学院,北京,100083;五邑大学,管理学院,广东,江门,529020;五邑大学,管理学院,广东,江门,529020 |
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| 基金项目： | 广东省自然科学基金资助项目 |
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| 摘 要： | 在集对分析中,差异度系数i是体现系统不确定性的重要变量,但如何取值一直在理论上没有解决,本文根据i的取值的不确定性与模糊性,提出了一种基于模糊集值统计的差异度系数取值方法.对于原始数据中的噪声,本文提出了一种基于模糊软阈值的小波去噪方法,并利用支持向量回归方法来进行同异反预测,在一定程度上克服了线性建模技术的不足.此外,为了克服同一度、差异度与对立度之间的归一化约束,本文还提出了一种熵变换的方法.
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| 关 键 词： | 集对分析 模糊软阈值 模糊集值统计 小波分析 支持向量回归 |
A Kind of Set-pairs Prediction Method Based on Fuzzy Set-valued Statistics |
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| SUN Jin-zhong,CHEN Shi-quan. A Kind of Set-pairs Prediction Method Based on Fuzzy Set-valued Statistics[J]. Fuzzy Systems and Mathematics, 2009, 23(3) |
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| Authors: | SUN Jin-zhong CHEN Shi-quan |
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| Affiliation: | 1.School of Management;Beihang University;Beijing 100083;China;2.School of Management;Wuyi University;Jiangmen 529020;China |
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| Abstract: | In Set-pairs analysis,the coefficient of discrepancy degree i is an important variable which Embodies the uncertainty.However,how to ascertain the value of i is still an unsolved problem.According to the uncertainty and fuzzy characteristics of the value of i,the paper provides a kind of method of ascertaining the value of i based on fuzzy set-valued statistics.The paper also gives a kind of wavelet noise-erased method based on Fuzzy soft threshold for the noises existed in the original data and goes on pre... |
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| Keywords: | Set-pairs Analysis Fuzzy Soft Threshold Fuzzy Set-valued Statistics Wavelet Analysis Support Vector Regression |
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