基于Pythagorean模糊语言相似测度的模式识别方法
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摘要
文章提出了一种基于新的Pythagorean模糊语言相似测度的模式识别方法。首先定义了一种新的Pythagorean模糊语言相似测度,讨论其优良性质,接着提出基于新的Pythagorean测度的模式识别方法,最后通过医疗诊断模式识别案例验证新方法的可行性和有效性。
This paper presents a pattern recognition method based on a new Pythagorean fuzzy linguistic similarity measure. First, a new Pythagorean fuzzy linguistic similarity measure is defined and the characteristic properties are investigated. Then, a pattern recognition method based on the new measure is proposed. Finally, the feasibility and validity of the new method are verified by medical diagnosis of pattern recognition cases.
This paper presents a pattern recognition method based on a new Pythagorean fuzzy linguistic similarity measure. First, a new Pythagorean fuzzy linguistic similarity measure is defined and the characteristic properties are investigated. Then, a pattern recognition method based on the new measure is proposed. Finally, the feasibility and validity of the new method are verified by medical diagnosis of pattern recognition cases.
引文
[1]陈雯,平轶男,王凤,周礼刚.基于梯形模糊相似测度的风险投资多属性群决策方法[J].武汉理工大学学报(信息与管理工程版),2018,40(01):36-42.
[2]彭新东,杨勇.基于Pythagorean模糊语言集多属性群决策方法[J].计算机工程,2016,52(23):50-54,243.
[3]魏航,林励,张元,王莲婧,陈沁群.灰色系统理论在中药色谱指纹图谱模式识别中的应用研究[J].谱,2013,31(02):127-132.
[4]王年,熊原,赵海峰,等.基于神经网络的汽车牌照自动识别[J].安徽大学学报(自然科学版),2000,24(1):45-50.
[5]杜智涛,谢新洲.利用灰色预测与模式识别方法构建网络舆情预测与预警模型[J].图书情报工作,2013,57(15):27-33.
[6]胡正平,陈俊岭,王蒙,等.卷积神经网络分类模型在模式识别中的新进展[J].燕山大学学报,2015,39(4):283-291.
[7]刘卫锋,常娟,何霞.广义毕达哥拉斯模糊集成算子及其决策应用[J].控制与决策,2016,31(12):2280-2286.
[8]刘政敏,刘培德,刘位龙.基Pythagorean不确定语言的扩展VIKOR多属性群决策方法[J].控制与决策,2017,32(12):2145-2152.
[9]罗敏,周晗,陶志富,等.基于连续直觉模糊相似测度的多属性群决策方法[J].武汉理工大学学报(信息与管理工程版),2017,39(3):299-305.
[10]李宝萍,陈华友.直觉模糊面集的相似度及其在模式识别中的应用[J].模糊系统与数学,2015,29(1):134-141.
[11]范会敏,王浩.模式识别方法概述[J].电子设计2012,20(19):48-51.
[12]刘媛媛,王毅,刘洪伟,杜龙刚,刘舒,柴福鑫.基于动态聚类分析和模糊模式识别法的北京城区汛期降雨时空分布规律研究[J].水文,2019,39(01):74-77,73.
[13]谢建明,刘三阳.区间直觉模糊集的相似性测度及其应用[J].数学的实践与认识,2018,48(04):249-255.
[14]Mendel J.M.,John R.I.,Liu F.L.,Interval type-2 fuzzy logical systems made simple[J].IEEE Transactions on Fuzzy Systems,2006,14:808-821.
[15]Liu F.,Mendel J.M.,Encoding words into interval type-2fuzzy sets using an interval approach[J].IEEE Transactions on Fuzzy Systems,2008,16:1503-1521.
[16]Chen S.,Wang C.,Fuzzy decision making systems based on interval type-2 fuzzy sets[J].Information Sciences,2013,2421-21.
[17]Chen T.,Multiple criteria group decision-making with generaliz ed interval-valued fuzzy numbers based on signed distances and incomplete weights[J].Applied Mathematical Modelling,2012,36:3029-3052.
[18]Chen T.,An interactive method for multiple criteria group decision analysis based on interval type-2 sets and its application to medical decision making[J].Fuzzy Optimization and Decision Making,2013,12:323-356.
[19]Chen T.,An ELECTRE-based outranking method for multiple criteria group decision making using interval type-2 fuzzy sets[J].Information Sciences,2014,263:1-21.
[20]Chen T.,Chang C.,Lu J.R.,The extended QUALIFLEXmethod for multiple criteria decision analysis based on interval type-2 fuzzy sets and applications to medical decision making[J].European Journal of Operational Research,2013,226:615-625.
[2]彭新东,杨勇.基于Pythagorean模糊语言集多属性群决策方法[J].计算机工程,2016,52(23):50-54,243.
[3]魏航,林励,张元,王莲婧,陈沁群.灰色系统理论在中药色谱指纹图谱模式识别中的应用研究[J].谱,2013,31(02):127-132.
[4]王年,熊原,赵海峰,等.基于神经网络的汽车牌照自动识别[J].安徽大学学报(自然科学版),2000,24(1):45-50.
[5]杜智涛,谢新洲.利用灰色预测与模式识别方法构建网络舆情预测与预警模型[J].图书情报工作,2013,57(15):27-33.
[6]胡正平,陈俊岭,王蒙,等.卷积神经网络分类模型在模式识别中的新进展[J].燕山大学学报,2015,39(4):283-291.
[7]刘卫锋,常娟,何霞.广义毕达哥拉斯模糊集成算子及其决策应用[J].控制与决策,2016,31(12):2280-2286.
[8]刘政敏,刘培德,刘位龙.基Pythagorean不确定语言的扩展VIKOR多属性群决策方法[J].控制与决策,2017,32(12):2145-2152.
[9]罗敏,周晗,陶志富,等.基于连续直觉模糊相似测度的多属性群决策方法[J].武汉理工大学学报(信息与管理工程版),2017,39(3):299-305.
[10]李宝萍,陈华友.直觉模糊面集的相似度及其在模式识别中的应用[J].模糊系统与数学,2015,29(1):134-141.
[11]范会敏,王浩.模式识别方法概述[J].电子设计2012,20(19):48-51.
[12]刘媛媛,王毅,刘洪伟,杜龙刚,刘舒,柴福鑫.基于动态聚类分析和模糊模式识别法的北京城区汛期降雨时空分布规律研究[J].水文,2019,39(01):74-77,73.
[13]谢建明,刘三阳.区间直觉模糊集的相似性测度及其应用[J].数学的实践与认识,2018,48(04):249-255.
[14]Mendel J.M.,John R.I.,Liu F.L.,Interval type-2 fuzzy logical systems made simple[J].IEEE Transactions on Fuzzy Systems,2006,14:808-821.
[15]Liu F.,Mendel J.M.,Encoding words into interval type-2fuzzy sets using an interval approach[J].IEEE Transactions on Fuzzy Systems,2008,16:1503-1521.
[16]Chen S.,Wang C.,Fuzzy decision making systems based on interval type-2 fuzzy sets[J].Information Sciences,2013,2421-21.
[17]Chen T.,Multiple criteria group decision-making with generaliz ed interval-valued fuzzy numbers based on signed distances and incomplete weights[J].Applied Mathematical Modelling,2012,36:3029-3052.
[18]Chen T.,An interactive method for multiple criteria group decision analysis based on interval type-2 sets and its application to medical decision making[J].Fuzzy Optimization and Decision Making,2013,12:323-356.
[19]Chen T.,An ELECTRE-based outranking method for multiple criteria group decision making using interval type-2 fuzzy sets[J].Information Sciences,2014,263:1-21.
[20]Chen T.,Chang C.,Lu J.R.,The extended QUALIFLEXmethod for multiple criteria decision analysis based on interval type-2 fuzzy sets and applications to medical decision making[J].European Journal of Operational Research,2013,226:615-625.