A New Nonlinear Multiregression Model Based on the Lower and Upper Integrals

被引：0
|
作者：
Chu J. [1 ,2 ]
Wang Z. [3 ]
Shi Y. [2 ,4 ]
Leung K.-S. [5 ]
机构：
[1] School of Management, University of Chinese Academy of Sciences, Beijing
[2] Research Center on Fictitious Economy & Data Science, Chinese Academy of Sciences, Beijing
[3] Department of Mathematics, University of Nebraska at Omaha, Omaha, 68182, NE
[4] College of Information Science and Technology, University of Nebraska at Omaha, Omaha, 68182, NE
[5] Department of Computer Science and Engineering, The Chinese University of Hong Kong, Hong Kong
来源：
Annals of Data Science | 2014年 / 1卷 / 1期
基金：
中国国家自然科学基金;
关键词：
Data mining; Linear programming; Multiregression; Nonlinear integrals; Signed efficiency measures; Soft computing;
D O I：
10.1007/s40745-014-0008-6
中图分类号：
学科分类号：
摘要：
A new nonlinear multiregression model based on a pair of extreme nonlinear integrals, lower and upper integrals, is established in this paper. A complete data set of predictive attributes and the relevant objective attribute is required for estimating the regression coefficients. Due to the nonadditivity of the model, a genetic algorithm combined with the pseudo gradient search is adopted to search the optimized solution in the regression problem. Applying such a nonlinear multiregression model, an interval prediction for the value of the objective attribute can be made once a new observation of predictive attributes is available. © 2014, Springer-Verlag GmbH Berlin Heidelberg.
引用
收藏
页码：109 / 125
页数：16
相关论文
共 50 条
  • [1] Multiregression based on upper and lower nonlinear integrals
    Wang, JinFeng
    Leung, KwongSak
    Lee, KinHong
    Wang, ZhenYuan
    Xu, Jun
    INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2012, 27 (06) : 519 - 538
  • [2] FOREST VOLUME ESTIMATION USING NONLINEAR MULTIREGRESSION BASED ON CHOQUET INTEGRALS
    Huang, Dong-Mei
    Gu, Jian-Cai
    Xiao, Tao
    Zhang, Ning
    Zhen, Xin-Wu
    PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-6, 2009, : 3705 - +
  • [3] Upper and lower integrals
    Kennedy, MD
    Pollard, S
    MATHEMATISCHE ZEITSCHRIFT, 1935, 39 : 432 - 454
  • [4] A Nonlinear Multiregression Model Based on the Choquet Integral for Analyzing the Course Records
    Wang, Zhenyuan
    Nian, Yan
    Chu, Jing
    Shi, Yong
    EMERGING COMPUTATION AND INFORMATION TECHNOLOGIES FOR EDUCATION, 2012, 146 : 309 - +
  • [5] Upper and lower Lebesgue integrals
    Kennedy, MD
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1931, 32 : 21 - 50
  • [6] CONTINUITY AND UPPER AND LOWER INTEGRALS
    APPLING, WDL
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (02): : A264 - A265
  • [7] ON LOWER AND UPPER CHOQUET INTEGRALS
    Guo, Cai-Mei
    Zhang, De-Li
    PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-6, 2009, : 1783 - +
  • [8] Learning nonlinear multiregression networks based on evolutionary computation
    Leung, KS
    Wong, ML
    Lam, W
    Wang, ZY
    Xu, KB
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2002, 32 (05): : 630 - 644
  • [9] Upper and Lower N-integrals
    Cabral, Emmanuel A.
    Racca, Abraham P.
    PROCEEDINGS OF THE 8TH SEAMS-UGM INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS 2019: DEEPENING MATHEMATICAL CONCEPTS FOR WIDER APPLICATION THROUGH MULTIDISCIPLINARY RESEARCH AND INDUSTRIES COLLABORATIONS, 2019, 2192
  • [10] A localic theory of lower and upper integrals
    Vickers, Steven
    MATHEMATICAL LOGIC QUARTERLY, 2008, 54 (01) : 109 - 123
12345