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Volumn 26, Issue 2, 2013, Pages 724-738

Kernel based nonlinear fuzzy regression model

Author keywords

Fuzzy EM algorithm; Kernel; Maximum likelihood estimation; Nonlinear fuzzy regression; Power plant; Unmeasured parameter

Indexed keywords

COAL POWDER; EM ALGORITHMS; ENGINEERING APPLICATIONS; EXPECTATION-MAXIMIZATION ALGORITHMS; FILLING IN; FUNCTIONAL RELATIONSHIP; FUZZY DATA; FUZZY OUTPUT; FUZZY REGRESSION MODELS; FUZZY REGRESSIONS; KERNEL; LIKELIHOOD ESTIMATION; PARAMETER LEVELS; PREDICTION ACCURACY; STATISTICAL REGRESSION; UNMEASURED PARAMETER;

EID: 84872683597     PISSN: 09521976     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engappai.2012.05.009     Document Type: Article
Times cited : (16)

References (42)
  • 1
    • 34547491789 scopus 로고    scopus 로고
    • Multiple regression with fuzzy data
    • DOI 10.1016/j.fss.2007.04.011, PII S0165011407001649
    • A. Bargiela, W. Pedrycz, and T. Nakashima Multiple regression with fuzzy data Fuzzy Sets Syst. 158 2007 2169 2188 (Pubitemid 47176686)
    • (2007) Fuzzy Sets and Systems , vol.158 , Issue.19 , pp. 2169-2188
    • Bargiela, A.1    Pedrycz, W.2    Nakashima, T.3
  • 2
    • 77958471616 scopus 로고    scopus 로고
    • A revisited approach to linear fuzzy regression using trapezoidal fuzzy intervals
    • A. Bisserier, R. Boukezzoula, and S. Galichet A revisited approach to linear fuzzy regression using trapezoidal fuzzy intervals Inf. Sci. 180 2010 3653 3673
    • (2010) Inf. Sci. , vol.180 , pp. 3653-3673
    • Bisserier, A.1    Boukezzoula, R.2    Galichet, S.3
  • 3
    • 38249038096 scopus 로고
    • Multidimensional least-squares fitting of fuzzy models
    • A. Celmins Multidimensional least-squares fitting of fuzzy models Math. Model. 9 1987 669 690
    • (1987) Math. Model. , vol.9 , pp. 669-690
    • Celmins, A.1
  • 4
    • 0001190023 scopus 로고
    • Least squares model fitting to fuzzy vector data
    • A. Celmins Least squares model fitting to fuzzy vector data Fuzzy Sets Syst. 22 1987 245 269
    • (1987) Fuzzy Sets Syst. , vol.22 , pp. 245-269
    • Celmins, A.1
  • 5
    • 33748929857 scopus 로고    scopus 로고
    • Particle swarm optimization training algorithm for ANNs in stage prediction of Shing Mun River
    • DOI 10.1016/j.jhydrol.2006.02.025, PII S0022169406001090
    • K.W. Chau Particle swarm optimization training algorithm for ANNs in stage prediction of Shing Mun River J. Hydrol. 329 3-4 2006 363 367 (Pubitemid 44436228)
    • (2006) Journal of Hydrology , vol.329 , Issue.3-4 , pp. 363-367
    • Chau, K.W.1
  • 6
    • 71149087511 scopus 로고    scopus 로고
    • Modeling manufacturing processes using a genetic programming-based fuzzy regression with detection of outliers
    • K.Y. Chan, C.K. Kwong, and T.C. Fogarty Modeling manufacturing processes using a genetic programming-based fuzzy regression with detection of outliers Inf. Sci. 180 2010 506 518
    • (2010) Inf. Sci. , vol.180 , pp. 506-518
    • Chan, K.Y.1    Kwong, C.K.2    Fogarty, T.C.3
  • 7
    • 0035313833 scopus 로고    scopus 로고
    • Hybrid fuzzy least-squares regression analysis and its reliability measures
    • Y.H. Chang Hybrid fuzzy least-squares regression analysis and its reliability measures Fuzzy Sets Syst. 119 2001 225 246
    • (2001) Fuzzy Sets Syst. , vol.119 , pp. 225-246
    • Chang, Y.H.1
  • 8
    • 0035313747 scopus 로고    scopus 로고
    • Fuzzy regression methods - A comparative assessment
    • Y.H. Chang, and B.M. Ayyub Fuzzy regression methods - a comparative assessment Fuzzy Sets Syst. 119 2001 187 203
    • (2001) Fuzzy Sets Syst. , vol.119 , pp. 187-203
    • Chang, Y.H.1    Ayyub, B.M.2
  • 9
    • 0000112338 scopus 로고    scopus 로고
    • A generalized fuzzy weighted least-squares regression
    • P.T. Chang, and E.S. Lee A generalized fuzzy weighted least-squares regression Fuzzy Sets Syst. 82 1996 289 298 (Pubitemid 126667475)
    • (1996) Fuzzy Sets and Systems , vol.82 , Issue.3 , pp. 289-298
    • Chang, P.-T.1    Lee, E.S.2
  • 10
    • 0036845179 scopus 로고    scopus 로고
    • Combining a fuzzy optimal model with a genetic algorithm to solve multi-objective rainfall-runoff model calibration
    • DOI 10.1016/S0022-1694(02)00122-1, PII S0022169402001221
    • C.T. Cheng, C.P. Ou, and K.W. Chau Combining a fuzzy optimal model with a genetic algorithm to solve multiobjective rainfall-runoff model calibration J. Hydrol. 268 1-4 2002 72 86 (Pubitemid 35307223)
    • (2002) Journal of Hydrology , vol.268 , Issue.1-4 , pp. 72-86
    • Cheng, C.T.1    Ou, C.P.2    Chau, K.W.3
  • 11
    • 80052261743 scopus 로고    scopus 로고
    • Maximum likelihood estimation from fuzzy data using the em algorithm
    • T. Denoeux Maximum likelihood estimation from fuzzy data using the EM algorithm Fuzzy Sets Syst. 183 2011 72 91
    • (2011) Fuzzy Sets Syst. , vol.183 , pp. 72-91
    • Denoeux, T.1
  • 12
    • 0000325717 scopus 로고
    • Fuzzy least squares
    • P. Diamond Fuzzy least squares Inf. sci. 46 1988 141 157
    • (1988) Inf. Sci. , vol.46 , pp. 141-157
    • Diamond, P.1
  • 14
    • 0037454064 scopus 로고    scopus 로고
    • Linear regression analysis for fuzzy/crisp input and fuzzy/crisp output data
    • DOI 10.1016/S0167-9473(02)00117-2, PII S0167947302001172
    • P. D'Urso Linear regression analysis for fuzzy/crisp input and fuzzy/crisp output data Comput. Stat. Data Anal. 42 2003 47 72 (Pubitemid 36257915)
    • (2003) Computational Statistics and Data Analysis , vol.42 , Issue.1-2 , pp. 47-72
    • D'Urso, P.1
  • 15
    • 0034302109 scopus 로고    scopus 로고
    • A least-squares approach to fuzzy linear regression analysis.
    • P. D'Urso, and T. Gastaldi A least-squares approach to fuzzy linear regression analysis. Comput. Stat. Data Anal. 34 2000 427 440
    • (2000) Comput. Stat. Data Anal. , vol.34 , pp. 427-440
    • D'Urso, P.1    Gastaldi, T.2
  • 16
    • 79960158983 scopus 로고    scopus 로고
    • Robust fuzzy regression analysis
    • P. D'Urso, R. Mssari, and A. Santoro Robust fuzzy regression analysis Inf. sci. 181 2011 4154 4174
    • (2011) Inf. Sci. , vol.181 , pp. 4154-4174
    • D'Urso, P.1    Mssari, R.2    Santoro, A.3
  • 18
    • 54249107904 scopus 로고    scopus 로고
    • Palm print identification using restricted Fusion
    • W. Jia, B. Ling, K.W. Chau, and L. Heutte Palm print identification using restricted Fusion Appl. Math. Comput. 205 2 2008 927 934
    • (2008) Appl. Math. Comput. , vol.205 , Issue.2 , pp. 927-934
    • Jia, W.1    Ling, B.2    Chau, K.W.3    Heutte, L.4
  • 21
    • 0000662569 scopus 로고    scopus 로고
    • Evaluation of fuzzy linear regression models by comparing membership functions
    • PII S0165011497001000
    • B. Kim, and R.R. Bishu Evaluation of fuzzy linear regression models by comparing membership functions Fuzzy Sets Syst. 100 1998 343 352 (Pubitemid 128654414)
    • (1998) Fuzzy Sets and Systems , vol.100 , Issue.1-3 , pp. 343-352
    • Kim, B.1    Bishu, R.R.2
  • 22
    • 35349010541 scopus 로고    scopus 로고
    • Asymptotic properties of least squares estimation with fuzzy observations
    • H.K. Kim, J.H. Yoon, and Y. Li Asymptotic properties of least squares estimation with fuzzy observations Inf. Sci. 178 2008 439 445
    • (2008) Inf. Sci. , vol.178 , pp. 439-445
    • Kim, H.K.1    Yoon, J.H.2    Li, Y.3
  • 23
    • 0345698915 scopus 로고    scopus 로고
    • Linear regression with random fuzzy variables: Extended classical estimates, best linear estimates, least-squares estimates
    • R. Korner, and W. Nather Linear regression with random fuzzy variables: extended classical estimates, best linear estimates, least-squares estimates Inf. Sci. 109 1998 95 118
    • (1998) Inf. Sci. , vol.109 , pp. 95-118
    • Korner, R.1    Nather, W.2
  • 24
    • 0343396501 scopus 로고    scopus 로고
    • Fuzzy regression model with fuzzy input and output data for manpower forecasting
    • H.T. Lee, and S.H. Chen Fuzzy regression model with fuzzy input and output data for manpower forecasting Fuzzy Sets Syst. 119 2001 205 213
    • (2001) Fuzzy Sets Syst. , vol.119 , pp. 205-213
    • Lee, H.T.1    Chen, S.H.2
  • 26
    • 33746830757 scopus 로고    scopus 로고
    • Using support vector machines for long-term discharge prediction
    • J.Y. Lin, C.T. Cheng, and K.W. Chau Using support vector machines for long-term discharge prediction Hydrol. Sci. J. 51 4 2006 599 612
    • (2006) Hydrol. Sci. J. , vol.51 , Issue.4 , pp. 599-612
    • Lin, J.Y.1    Cheng, C.T.2    Chau, K.W.3
  • 29
    • 13544257130 scopus 로고    scopus 로고
    • Fuzzy linear regression models with least square errors
    • DOI 10.1016/j.amc.2004.05.004, PII S0096300304002747
    • M. Modarres, E. Nasrabadi, and M.M. Nasrabadi Fuzzy linear regression with least squares errors Appl. Math. Comput. 163 2005 977 989 (Pubitemid 40219934)
    • (2005) Applied Mathematics and Computation , vol.163 , Issue.2 , pp. 977-989
    • Modarres, M.1    Nasrabadi, E.2    Nasrabadi, M.M.3
  • 30
    • 34250774983 scopus 로고    scopus 로고
    • Machine-learning paradigms for selecting ecologically significant input variables
    • DOI 10.1016/j.engappai.2006.11.016, PII S0952197606002028
    • N. Muttil, and K.W. Chau Machine learning paradigms for selecting ecologically significant input variables Eng. Appl. Artif. Intell. 20 6 2007 735 744 (Pubitemid 46962291)
    • (2007) Engineering Applications of Artificial Intelligence , vol.20 , Issue.6 , pp. 735-744
    • Muttil, N.1    Chau, K.-W.2
  • 32
    • 33750306206 scopus 로고    scopus 로고
    • Regression with fuzzy random data
    • DOI 10.1016/j.csda.2006.02.021, PII S0167947306000661
    • W. Nather Regression with fuzzy random data Comput. Stat. Data Anal. 51 2006 235 252 (Pubitemid 44634792)
    • (2006) Computational Statistics and Data Analysis , vol.51 , Issue.1 , pp. 235-252
    • Nather, W.1
  • 34
    • 38249008924 scopus 로고
    • Fuzzy linear regression analysis for fuzzy input-output data
    • M. Sakawa, and H. Yano Fuzzy linear regression analysis for fuzzy input-output data Inf. Sci. 63 1992 191 206
    • (1992) Inf. Sci. , vol.63 , pp. 191-206
    • Sakawa, M.1    Yano, H.2
  • 35
    • 71849091708 scopus 로고    scopus 로고
    • Improved adaptive evidential k-NN rule and its application for monitoring level of coal powder filling ball mill
    • Z.G. Su, and P.H. Wang Improved adaptive evidential k-NN rule and its application for monitoring level of coal powder filling ball mill J. Process Control 19 2009 1751 1762
    • (2009) J. Process Control , vol.19 , pp. 1751-1762
    • Su, Z.G.1    Wang, P.H.2
  • 36
    • 78751636919 scopus 로고    scopus 로고
    • Multi-model strategy based evidential sort sensor model for predicting evaluation of variables with uncertainty
    • Z.G. Su, P.H. Wang, J. Shen, X.J. Yu, and Z.Z. Lv Multi-model strategy based evidential sort sensor model for predicting evaluation of variables with uncertainty Appl. Soft Comput. 11 2010 2595 2610
    • (2010) Appl. Soft Comput. , vol.11 , pp. 2595-2610
    • Su, Z.G.1    Wang, P.H.2    Shen, J.3    Yu, X.J.4    Lv, Z.Z.5
  • 37
    • 84655176405 scopus 로고    scopus 로고
    • Convenient T-S fuzzy model with enhanced performance using a novel swarm intelligent fuzzy clustering technique
    • Z.G. Su, P.H. Wang, J. Shen, Y.F. Zhang, and L. Chen Convenient T-S fuzzy model with enhanced performance using a novel swarm intelligent fuzzy clustering technique J. Process Control 22 1 2012 108 124
    • (2012) J. Process Control , vol.22 , Issue.1 , pp. 108-124
    • Su, Z.G.1    Wang, P.H.2    Shen, J.3    Zhang, Y.F.4    Chen, L.5
  • 40
    • 0001325256 scopus 로고    scopus 로고
    • Insight of a fuzzy regression model
    • H.F. Wang, and R.C. Tsaur Insight of a fuzzy regression model Fuzzy Sets Syst. 112 2000 355 369
    • (2000) Fuzzy Sets Syst. , vol.112 , pp. 355-369
    • Wang, H.F.1    Tsaur, R.C.2
  • 41
    • 33845447724 scopus 로고    scopus 로고
    • A hybrid adaptive time-delay neural network model for multi-step-ahead prediction of sunspot activity
    • J.X. Xie, C.T. Cheng, K.W. Chau, and Y.Z. Pei A hybrid adaptive time-delay neural network model for multi-step-ahead prediction of sunspot activity Int. J. Environ. Pollut. 28 3-4 2006 364 381
    • (2006) Int. J. Environ. Pollut. , vol.28 , Issue.34 , pp. 364-381
    • Xie, J.X.1    Cheng, C.T.2    Chau, K.W.3    Pei, Y.Z.4
  • 42
    • 49949126152 scopus 로고
    • Probability measures of fuzzy events
    • L.A. Zadeh Probability measures of fuzzy events J. Math. Anal.Appl. 10 1968 421 427
    • (1968) J. Math. Anal.Appl. , vol.10 , pp. 421-427
    • Zadeh, L.A.1


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