模糊综合评判加权平均模型的误导性阐释
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摘要
模糊综合评判在不能界定隶属度转换是线性转换条件下,硬性用加权平均线性模型实现隶属度转换.通过揭示指标隶属度中通常包含确定目标隶属度不起作用的非线性冗余值,建立区分权滤波的冗余理论,用冗余理论界定隶属度转换不是线性转换,并构建近似推理逻辑支撑的隶属度转换模型.阐述所建模型为什么是当前条件下人们能构建的最优近似模型.当指标隶属度只取1或0两个值时模型将退化成模糊综合评判的"加权平均"模型.
The fuzzy comprehensive evaluation uses weighted average linear model to achieve membership transformation without consider weather the transformation is linear or not. According to reveal the nonlinear residual value which hidden in index membership degree, the residual theory based on distinguishable weight filter is established. And then it is explained that the membership transformation is not the linear transformation. The membership transformation model based on approximate reasoning logic is built. In this article, we explain why the model is the best approximation model that people can construct under the current conditions. The model will be the weighted mean model when the index membership degree is only 1 or 0 two values.
The fuzzy comprehensive evaluation uses weighted average linear model to achieve membership transformation without consider weather the transformation is linear or not. According to reveal the nonlinear residual value which hidden in index membership degree, the residual theory based on distinguishable weight filter is established. And then it is explained that the membership transformation is not the linear transformation. The membership transformation model based on approximate reasoning logic is built. In this article, we explain why the model is the best approximation model that people can construct under the current conditions. The model will be the weighted mean model when the index membership degree is only 1 or 0 two values.
引文
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[6]陈希祥,邱静,刘冠军.基于层次分析法与模糊综合评判的测试设备选择方法研究[J].兵工学报, 2010,31(10):68-73.
[7]刘胜,张玉廷,于大泳.小生境遗传算法修正三角模糊数互补判断矩阵一致性及排序[J].系统工程理论与实践,2011,31(3):522-529.
[8]苗厚纯,于开春,李琦等.基于地质分类进行水驱开发效果评价[J].数学的实践与认识,2016, 46(14):264-274.
[9]宾光富,李学军.基于模糊层次分析法的设备状态系统量化评价新方法[J].系统工程理论与实践,2010,30(4):744-750.
[10]陈强,李彬,卢愿.基于云模型构造BPA的瓦斯监测证据合成算法[J].江西理工大学学报,2014, 35(5):62-68.
[11]孙元媛,宋翔,黄登宇.灰色聚类法在生活饮用水毒理指标安全评价中的应用[J].数学的实践与认识,2016, 46(10):229-234.
[12]刘玉梅,赵聪聪,熊明烨.基于物元模型的高速轨道车辆传动系可靠性评价[J].吉林大学学报(工学版),2015, 45(4):1063-1067.
[13]于倩男,刘义坤,于洋.基于层次分析法的精控压裂井层模糊评价研究[J].数学的实践与认识,2018,48(3):107-114.
[14] Timothy J Ross著,钱同惠等译.模糊逻辑及其工程应用[M].北京:电子工业出版社,2001.
[2]周东华,叶银忠.现代故障诊断与容错控制[M].北京:清华大学出版社,2000.
[3]秦寿康等.综合评价原理与应用[M].北京:电子工业出版社,2003.
[4] Saaty T L. The Analytic Hierarchy Process[M]. Pittsburgh:University of Pittsburgh, 1988.
[5]王莲芳,许树柏.层次分析法引论[M].北京:中国人民大学出版社,1990.
[6]陈希祥,邱静,刘冠军.基于层次分析法与模糊综合评判的测试设备选择方法研究[J].兵工学报, 2010,31(10):68-73.
[7]刘胜,张玉廷,于大泳.小生境遗传算法修正三角模糊数互补判断矩阵一致性及排序[J].系统工程理论与实践,2011,31(3):522-529.
[8]苗厚纯,于开春,李琦等.基于地质分类进行水驱开发效果评价[J].数学的实践与认识,2016, 46(14):264-274.
[9]宾光富,李学军.基于模糊层次分析法的设备状态系统量化评价新方法[J].系统工程理论与实践,2010,30(4):744-750.
[10]陈强,李彬,卢愿.基于云模型构造BPA的瓦斯监测证据合成算法[J].江西理工大学学报,2014, 35(5):62-68.
[11]孙元媛,宋翔,黄登宇.灰色聚类法在生活饮用水毒理指标安全评价中的应用[J].数学的实践与认识,2016, 46(10):229-234.
[12]刘玉梅,赵聪聪,熊明烨.基于物元模型的高速轨道车辆传动系可靠性评价[J].吉林大学学报(工学版),2015, 45(4):1063-1067.
[13]于倩男,刘义坤,于洋.基于层次分析法的精控压裂井层模糊评价研究[J].数学的实践与认识,2018,48(3):107-114.
[14] Timothy J Ross著,钱同惠等译.模糊逻辑及其工程应用[M].北京:电子工业出版社,2001.