在交互环境下,模糊积分分类器具有良好的分类性能.如何确定在属性集幂集上定义的模糊测度是模糊积分分类器中的一个关键问题.当属性的个数增加时,计算复杂度呈指数级增长.为了解决这一问题,借鉴极速学习机算法中权重向量随机确定的思想,提出了ELM-Choquet模糊积分分类器.实验结果表明,和Choquet模糊积分分类器相比,该算法具有较优的分类性能.
In the interactive environments,fuzzy integral classifier has shown its good classification performance. A key problem in the fuzzy integral classifier is to determine the fuzzy measure defined in the power set of attributes. The computational complexity increases exponentially as the number of attributes increases. In order to solve the problem, drawing lessons from the idea of random determination of weight vector in extrem learning machine algorithm, this paper puts forward an ELM-Choquet fuzzy integral classifier. The experiment result shows that compared with the Choquet fuzzy integral classifier, this algorithm has better classification performance.
[1] HUANG G B, ZHU Q Y, SIEW C K.Extreme learning machine:a new learning scheme of feedforward neural networks[Z].Proceedings of International Joint Conference on Neural Networks, 2004, Budapest, Hungary.DOI:10.1109/IJCNN.2004.1380068.
[2] HUANG G B,ZHU Q Y,SIEW C K.Extreme learning machine:theory and applications[J].Neurocomputing,2006,70(1/2/3):489-501.DOI:10.1016/j.neucom.2005.12.126.
[3] DENG C W,HUANG G B, XU J, et al.Extreme learning machines:new trends and applications[J].Science China Information Science, 2015, 58(2):1-16.DOI:10.1007/s11432-014-5269-3.
[4] CHEN L J, HONEINE P, QU H, et al.Correntropy-based robust multilayer extreme learning machines[J].Pattern Recognition, 2018, 84:357-370.DOI:10.1016/j.patcog.2018.07.011.
[5] MITCHELL T M.Machine learning[M].New York:McGraw Hill, 1997.
[6] YEUNG D, WANG X Z.Handing interaction in fuzzy production rule reasoning[J].IEEE Transaction on Systems and Cybernetics, 2004, 34(5):1979-1987.DOI:10.1109/TSMCB.2004.831460.
[7] 王熙照.模糊测度和模糊积分在分类技术中的应用[M].北京:科学出版社, 2008.
[8] WANG Z Y, XU K B, WANG J, et al.Using genetic algorithms to determine nonnegative monotone set functions for information fusion in environments with random perturbation[J].International Journal of Intelligent Systems, 1999,14(10):949-962.DOI:10.1002/(sici)1098-111X(199910)14:10<949::aid-int1>3.0.co;2-Y.
[9] 李雪非, 顾志华, 冯慧敏.模糊积分分类器中的自适应模糊测度[J].河北大学学报(自然科学版), 2012, 32(4):342-348.DOI:1000-1565(2012)04-0342-07.
[10] 刘彦奎, 陈艳菊, 刘颖,等.模糊优化方法及应用[M].北京:科学出版社,2013.
[11] SERRE D.Matrices:Theory and applications[M].New York:Springer, 2002.
[12] 陈爱霞, 冯慧敏.模糊积分分类器中的积分类型选择[J].模糊系统与数学, 2016, 30(1):1-7.DOI:1001-7402(2016)01-0001-07.
