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Volumn 12, Issue 5, 2008, Pages 469-477

Fuzzy linear regression model based on fuzzy scalar product

Author keywords

Fuzzy linear regression model; Fuzzy number; Fuzzy scalar (inner) product; Least squares estimator; Optimization

Indexed keywords

ESTIMATION; LEAST SQUARES APPROXIMATIONS; LINEAR REGRESSION; MATHEMATICAL MODELS; MEMBERSHIP FUNCTIONS; OPTIMIZATION;

EID: 37249093449     PISSN: 14327643     EISSN: 14337479     Source Type: Journal    
DOI: 10.1007/s00500-007-0220-9     Document Type: Article
Times cited : (9)

References (32)
  • 1
    • 25844457814 scopus 로고    scopus 로고
    • Fuzzy normal regression model and related neural networks
    • Alex R (2004) Fuzzy normal regression model and related neural networks. Soft Comput 8:717-721
    • (2004) Soft Comput , vol.8 , pp. 717-721
    • Alex, R.1
  • 2
    • 38249016286 scopus 로고
    • Note on fuzzy regression
    • Bárdossy A (1990) Note on fuzzy regression. Fuzzy Sets Syst 65:65-75
    • (1990) Fuzzy Sets Syst , vol.65 , pp. 65-75
    • Bárdossy, A.1
  • 3
    • 38249038096 scopus 로고
    • Multidimensional least-squares fitting of fuzzy models
    • Celminš A (1987) Multidimensional least-squares fitting of fuzzy models. Math Modell 9:669-690
    • (1987) Math Modell , vol.9 , pp. 669-690
    • Celminš, A.1
  • 4
    • 0000889332 scopus 로고
    • A practical approach to nonlinear fuzzy regression
    • Celminš A (1991) A practical approach to nonlinear fuzzy regression. SIAM J Sci Stat Comput 12:521-546
    • (1991) SIAM J Sci Stat Comput , vol.12 , pp. 521-546
    • Celminš, A.1
  • 5
    • 0001573106 scopus 로고
    • Fuzzy linear regression with spreads unrestricted in sign
    • Chang PT, Lee ES (1994) Fuzzy linear regression with spreads unrestricted in sign. Comput Math Appl 28:61-70
    • (1994) Comput Math Appl , vol.28 , pp. 61-70
    • Chang, P.T.1    Lee, E.S.2
  • 6
    • 0000112338 scopus 로고    scopus 로고
    • A generalized fuzzy weighted least-squares regression
    • Chang PT, Lee ES (1996) A generalized fuzzy weighted least-squares regression. Fuzzy Sets Syst 82:289-298
    • (1996) Fuzzy Sets Syst , vol.82 , pp. 289-298
    • Chang, P.T.1    Lee, E.S.2
  • 7
    • 0000325717 scopus 로고
    • Fuzzy least squares
    • Diamond P (1988) Fuzzy least squares. Inf Sci 46:141-157
    • (1988) Inf Sci , vol.46 , pp. 141-157
    • Diamond, P.1
  • 8
    • 0000053257 scopus 로고    scopus 로고
    • Fuzzy regression by fuzzy number neural networks
    • Dunyak JP, Wunsch D (2000) Fuzzy regression by fuzzy number neural networks. Fuzzy Sets Syst 112:371-380
    • (2000) Fuzzy Sets Syst , vol.112 , pp. 371-380
    • Dunyak, J.P.1    Wunsch, D.2
  • 9
    • 0037454064 scopus 로고    scopus 로고
    • Linear regression analysis for fuzzy/crisp input and fuzzy/crisp output data
    • D'Urso P (2003) Linear regression analysis for fuzzy/crisp input and fuzzy/crisp output data. Comput Stat Data Anal 42:47-72
    • (2003) Comput Stat Data Anal , vol.42 , pp. 47-72
    • D'Urso, P.1
  • 10
    • 0034302109 scopus 로고    scopus 로고
    • A least-squares approach to fuzzy linear regression analysis
    • D'Urso P, Gastaldi T (2000) A least-squares approach to fuzzy linear regression analysis. Comput Stat Data Anal 34:427-440
    • (2000) Comput Stat Data Anal , vol.34 , pp. 427-440
    • D'Urso, P.1    Gastaldi, T.2
  • 11
    • 0000270907 scopus 로고
    • Linear fuzzy regression
    • Jajuga K (1986) Linear fuzzy regression. Fuzzy Sets Syst 20:343-353
    • (1986) Fuzzy Sets Syst , vol.20 , pp. 343-353
    • Jajuga, K.1
  • 12
    • 0003950481 scopus 로고
    • Kacprzyk J, Fedrizzi M (eds) Omnitech Press, Warsaw and Physica-Verlag, Heidelberg
    • Kacprzyk J, Fedrizzi M (eds) (1992) Fuzzy regression analysis. Omnitech Press, Warsaw and Physica-Verlag, Heidelberg
    • (1992) Fuzzy Regression Analysis
  • 13
    • 0000662569 scopus 로고    scopus 로고
    • Evaluation of fuzzy linear regression models by comparing membership functions
    • Kim B, Bishu RR (1998) Evaluation of fuzzy linear regression models by comparing membership functions. Fuzzy Sets Syst 100:343-352
    • (1998) Fuzzy Sets Syst , vol.100 , pp. 343-352
    • Kim, B.1    Bishu, R.R.2
  • 14
    • 0030192857 scopus 로고    scopus 로고
    • Fuzzy versus statistical linear regression
    • Kim KJ, Moskowitz H, Koksalan M (1996) Fuzzy versus statistical linear regression. Eur J Oper Res 92:417-434
    • (1996) Eur J Oper Res , vol.92 , pp. 417-434
    • Kim, K.J.1    Moskowitz, H.2    Koksalan, M.3
  • 16
    • 0027663106 scopus 로고
    • On assessing the H value in fuzzy linear regression
    • Moskowitz H, Kim K (1993) On assessing the H value in fuzzy linear regression. Fuzzy Sets Syst 58:303-327
    • (1993) Fuzzy Sets Syst , vol.58 , pp. 303-327
    • Moskowitz, H.1    Kim, K.2
  • 17
    • 3242675121 scopus 로고    scopus 로고
    • A mathematical programming approach to fuzzy linear regression analysis
    • Nasrabadi MM, Nasrabadi E (2004) A mathematical programming approach to fuzzy linear regression analysis. Appl Math Comput 155:873-881
    • (2004) Appl Math Comput , vol.155 , pp. 873-881
    • Nasrabadi, M.M.1    Nasrabadi, E.2
  • 18
    • 0028407151 scopus 로고
    • Fuzzy linear regression with fuzzy intervals
    • Peters G (1994) Fuzzy linear regression with fuzzy intervals. Fuzzy Sets Syst 63:35-43
    • (1994) Fuzzy Sets Syst , vol.63 , pp. 35-43
    • Peters, G.1
  • 19
    • 0028462787 scopus 로고
    • Properties of certain fuzzy linear regression methods
    • Redden DT, Woodall WH (1994) Properties of certain fuzzy linear regression methods. Fuzzy Sets Syst 64:361-375
    • (1994) Fuzzy Sets Syst , vol.64 , pp. 361-375
    • Redden, D.T.1    Woodall, W.H.2
  • 20
    • 0001563202 scopus 로고
    • Multiobjective fuzzy linear regression analysis for fuzzy input-output data
    • Sakawa M, Yano H (1992) Multiobjective fuzzy linear regression analysis for fuzzy input-output data. Fuzzy Sets Syst 47:173-181
    • (1992) Fuzzy Sets Syst , vol.47 , pp. 173-181
    • Sakawa, M.1    Yano, H.2
  • 21
    • 0008321310 scopus 로고
    • Possibilistic linear system and their application to the linear regression model
    • Tanaka H, Warada J (1988) Possibilistic linear system and their application to the linear regression model. Fuzzy Sets Syst 27:275-289
    • (1988) Fuzzy Sets Syst , vol.27 , pp. 275-289
    • Tanaka, H.1    Warada, J.2
  • 22
    • 0000369757 scopus 로고
    • Identification of possibilistic linear systems by quadratic membership functions of fuzzy parameters
    • Tanaka H, Ishibuchi H (1991) Identification of possibilistic linear systems by quadratic membership functions of fuzzy parameters. Fuzzy Sets Syst 41:145-160
    • (1991) Fuzzy Sets Syst , vol.41 , pp. 145-160
    • Tanaka, H.1    Ishibuchi, H.2
  • 23
    • 0032205733 scopus 로고    scopus 로고
    • Interval regression analysis by quadratic programming approach
    • Tanaka H, Lee H (1998) Interval regression analysis by quadratic programming approach. IEEE Trans Fuzzy Syst 6:473-481
    • (1998) IEEE Trans Fuzzy Syst , vol.6 , pp. 473-481
    • Tanaka, H.1    Lee, H.2
  • 25
    • 0024680971 scopus 로고
    • Possibilistic linear regression analysis for fuzzy data
    • Tanaka H, Hayashi I, Watada J (1989) Possibilistic linear regression analysis for fuzzy data. Eur J Oper Res 40:389-396
    • (1989) Eur J Oper Res , vol.40 , pp. 389-396
    • Tanaka, H.1    Hayashi, I.2    Watada, J.3
  • 26
    • 25844473568 scopus 로고    scopus 로고
    • Formulation of linguistic regression model based on natural words
    • Toyoura Y, Watada J, Khalid M, Yusof R (2004) Formulation of linguistic regression model based on natural words. Soft Comput 8:681-688
    • (2004) Soft Comput , vol.8 , pp. 681-688
    • Toyoura, Y.1    Watada, J.2    Khalid, M.3    Yusof, R.4
  • 27
    • 0034325806 scopus 로고    scopus 로고
    • Resolution of fuzzy regression model
    • Wang HF, Tsaur RC (2000) Resolution of fuzzy regression model. Eur J Oper Res 126:637-650
    • (2000) Eur J Oper Res , vol.126 , pp. 637-650
    • Wang, H.F.1    Tsaur, R.C.2
  • 28
    • 0037454066 scopus 로고    scopus 로고
    • Fuzzy estimates of regression parameters in linear regression models for imprecise input and output data
    • Wu HC (2003a) Fuzzy estimates of regression parameters in linear regression models for imprecise input and output data. Comput Stat Data Anal 42:203-217
    • (2003) Comput Stat Data Anal , vol.42 , pp. 203-217
    • Wu, H.C.1
  • 29
    • 0041703886 scopus 로고    scopus 로고
    • Linear regression analysis for fuzzy input and output data using the extension principle
    • Wu HC (2003b) Linear regression analysis for fuzzy input and output data using the extension principle. Comput Math Appl 45:1849-1859
    • (2003) Comput Math Appl , vol.45 , pp. 1849-1859
    • Wu, H.C.1
  • 30
    • 0020089359 scopus 로고
    • Fuzzy prediction based on regression models
    • Yager RR (1982) Fuzzy prediction based on regression models. Inf Sci 26:45-63
    • (1982) Inf Sci , vol.26 , pp. 45-63
    • Yager, R.R.1
  • 31
    • 34248666540 scopus 로고
    • Fuzzy sets
    • Zadeh LA (1965) Fuzzy sets. Inf Control 8:338-353
    • (1965) Inf Control , vol.8 , pp. 338-353
    • Zadeh, L.A.1
  • 32
    • 0016458950 scopus 로고
    • The concept of linguistic variable and its application to approximate reasoning I, II and III
    • 8:301-357; 9:43-80
    • Zadeh LA (1975) The concept of linguistic variable and its application to approximate reasoning I, II and III. Inf Sci 8:199-249; 8:301-357; 9:43-80
    • (1975) Inf Sci , vol.8 , pp. 199-249
    • Zadeh, L.A.1


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