A variable spread fuzzy linear regression model with higher explanatory power and forecasting accuracy

Information Sciences

Volumn 178, Issue 20, 2008, Pages 3973-3988

  Chen, Shih Pin ^a   Dang, Jr Fong ^a  

^a NATIONAL CHUNG CHENG UNIVERSITY   (Taiwan)

Author keywords

Forecasting; Fuzzy inference; Fuzzy sets; Linear regression; Mathematical programming

Indexed keywords

CONTROL THEORY; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC LOAD FORECASTING; ERROR ANALYSIS; ESTIMATION; FOOD PROCESSING; FORECASTING; FUZZY CONTROL; FUZZY INFERENCE; LEAST SQUARES APPROXIMATIONS; LINEAR REGRESSION; MEMBERSHIP FUNCTIONS; MILITARY DATA PROCESSING; REGRESSION ANALYSIS;

CENTER-OF-GRAVITY METHOD; ERROR TERMS; EXPLANATORY POWER; EXTENSION PRINCIPLES; FORECASTING ACCURACY; FORECASTING PERFORMANCE; FUZZY INFERENCE SYSTEM (FIS); FUZZY LINEAR REGRESSION MODEL; FUZZY REGRESSION ANALYSIS; FUZZY REGRESSION MODEL (FRM); HOUSE PRICES; INDEPENDENT VARIABLES; LEAST SQUARES (LS); OPERATIONAL RESEARCH; REGRESSION COEFFICIENTS; SECOND PHASE;

FUZZY LOGIC;

EID: 48749132540     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2008.06.005     Document Type: Article

References (50)

1. Andrés J. Claim reserving with fuzzy regression and Taylor's geometric separation method. Insurance: Mathematics and Economics 40 (2007) 145-163
2. Andrés J. Calculating insurance claim reserves with fuzzy regression. Fuzzy Sets and Systems 157 (2006) 3091-3108
3. Babuska R. Fuzzy Modeling for Control (1998), Kluwer Academic, MA
4. Bargiela A., Pedrycz W., and Nakashima T. Multiple regression with fuzzy data. Fuzzy Sets and Systems 158 (2007) 2169-2188
5. Bazaraa M.S., Sherali H.D., and Shetty C.M. Nonlinear Programming: Theory and Algorithms. second ed. (1993), John Wiley & Sons, Singapore
6. Benice D.D. Calculus and Its Applications. second ed. (1997), Houghton Mifflin, Boston
7. Çelikyi{dotless}lmaz A., and Türkşen I.B. Fuzzy functions with support vector machines. Information Sciences 177 (2007) 5163-5177
8. Chang Y. Hybrid fuzzy least-squares regression analysis and its reliability measures. Fuzzy Sets and Systems 119 (2001) 225-246
9. Chen S.J., and Hwang C.L. Fuzzy Multiple Attribute Decision Making: Methods and Applications (1992), Springer, New York
10. Chen S.P. Parametric nonlinear programming approach to fuzzy queues with bulk service. European Journal of Operational Research 163 (2005) 434-444
11. Chen S.P. Parametric nonlinear programming for analyzing fuzzy queues with finite capacity. European Journal of Operational Research 157 (2004) 429-438
12. Chena K., Rysb M.J., and Lee E.S. Modeling of thermal comfort in air conditioned rooms by fuzzy regression analysis. Mathematical and Computer Modelling 43 (2006) 809-819
13. Cheng C.B., and Lee E.S. Applying fuzzy adaptive network to fuzzy regression analysis. Computers and Mathematics with Applications 38 (1999) 123-140
14. Coppi R., D'Urso P., Giordani P., and Santoro A. Least squares estimation of a linear regression model with LR fuzzy response. Computational Statistics and Data Analysis 51 (2006) 267-286
15. Diamond P. Fuzzy least squares. Information Sciences 46 (1988) 141-157
16. Ge H.W., and Wang S.T. Dependency between degree of fit and input noise in fuzzy linear regression using non-symmetric fuzzy triangular coefficients. Fuzzy Sets and Systems 158 (2007) 2189-2202
17. He Y.Q., Chan L.K., and Wu M.L. Balancing productivity and consumer satisfaction for profitability: statistical and fuzzy regression analysis. European Journal of Operational Research 176 (2007) 252-263
18. Hong D.H., Song J.-K., and Young H. Fuzzy least-squares linear regression analysis using shape preserving operations. Information Sciences 138 (2001) 185-193
19. Hong D.H., and Hwang C. Extended fuzzy regression models using regularization method. Information Sciences 164 (2004) 31-46
20. Huang C.Y., and Tzeng G.H. Multiple generation product life cycle predictions using a novel two-stage fuzzy piecewise regression analysis method. Technological Forecasting and Social Change 75 (2008) 12-31
21. Hung W.L., and Yang M.S. An omission approach for detecting outliers in fuzzy regression models. Fuzzy Sets and Systems 157 (2006) 3109-3122
22. Imoto S., Yabuuchi Y., and Watada J. Fuzzy regression model of R&D project evaluation. Applied Soft Computing 8 (2008) 1266-1273
23. Kacprzyk J., and Fedrizzi M. Fuzzy Regression Analysis (1992), Omnitech Press, Warsaw
24. Kao C., and Chyu C.L. A fuzzy linear regression model with better explanatory power. Fuzzy Sets and Systems 126 (2002) 401-409
25. Kao C., and Chyu C.L. Least-squares estimates in fuzzy regression analysis. European Journal of Operational Research 148 (2003) 426-435
26. Kao C., and Lin P.H. Entropy for fuzzy regression analysis. International Journal of Systems Science 36 (2005) 869-876
27. Kaufmann A. Introduction to the Theory of Fuzzy Subsets vol. 1 (1975), Academic Press, New York
28. Khashei M., Hejazi S.R., and Bijari M. A new hybrid artificial neural networks and fuzzy regression model for time series forecasting. Fuzzy Sets and Systems 159 (2008) 769-786
29. Kim, and Bishu R.R. Evaluation of fuzzy linear regression models by comparing membership functions. Fuzzy Sets and Systems 100 (1998) 343-352
30. Klir G., and Yuan B. Fuzzy Sets and Fuzzy Logic: Theory and Applications. International ed. (2002), Prentice-Hall, Taiwan
31. Lingo User's Guide, LINDO Systems Inc., Chicago, 1999.
32. Mousavia S.J., Ponnambalamb K., and Karrayb F. Inferring operating rules for reservoir operations using fuzzy regression and ANFIS. Fuzzy Sets and Systems 158 (2007) 1064-1082
33. Nasrabadi M.M., and Nasrabadi E. A mathematical-programming approach to fuzzy linear regression analysis. Applied Mathematics and Computation 155 (2004) 873-881
34. Redden D.T., and Woodall W.H. Properties of certain fuzzy linear regression methods. Fuzzy Sets and Systems 64 (1994) 361-375
35. Rohatgi V.K. An Introduction to Probability Theory and Mathematical Statistics (1976), Wiley, New York
36. Ross T.J. Fuzzy Logic with Engineering Applications (1997), McGraw-Hill, Singapore
37. Sakawa M., and Yano H. Multiobjective fuzzy linear regression analysis for fuzzy input-output data. Fuzzy Sets and Systems 157 (1992) 173-181
38. Sanchez J.D., and Gomez A.T. Applications of fuzzy regression in actuarial analysis. Journal of Risk Insurance 70 (2003) 665-699
39. Sung B.S., Kim I.S., Xu Y., Kim H.H., and Cha Y.H. Fuzzy regression model to predict the bead geometry in the robotic welding process. Acta Metallurgica Sinica (English Letters) 20 (2007) 391-397
40. Tanaka H., Uegima S., and Asai K. Linear regression analysis with fuzzy model. IEEE Transactions on Systems, Man, and Cybernetics 12 (1982) 903-907
41. Tanaka H. Fuzzy data analysis by possibilistic linear models. Fuzzy Sets and Systems 24 (1987) 363-375
42. Tanaka H., and Watada J. Possibilistic linear systems and their application to the linear regression model. Fuzzy Sets and Systems 27 (1988) 275-289
43. Tanaka H., Hayashi I., and Watada J. Possibilistic linear regression analysis for fuzzy data. European Journal of Operational Research 40 (1989) 389-396
44. Wang H.F., and Tsaur R.C. Resolution of fuzzy regression model. European Journal of Operational Research 126 (2000) 637-650
45. Wang N., Zhang W.X., and Mei C.L. Fuzzy nonparametric regression based on local linear smoothing technique. Information Sciences 177 (2007) 3882-3900
46. Wu B., and Tseng N.F. A new approach to fuzzy regression models with application to business cycle analysis. Fuzzy Sets and Systems 130 (2002) 33-42
47. Yager R.R. A characterization of the extension principle. Fuzzy Sets and Systems 18 (1986) 205-217
48. Yager R.R. On a general class of fuzzy connectives. Fuzzy Sets and Systems 4 (1980) 235-242
49. Zadeh L.A. Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems 1 (1978) 3-28
50. Zimmermann H.J. Fuzzy Set Theory and Its Applications. fourth ed. (2001), Kluwer Nihoff, Boston