An enhanced fuzzy linear regression model with more flexible spreads

Fuzzy Sets and Systems

Volumn 160, Issue 17, 2009, Pages 2505-2523

  Lu, Jingli ^a   Wang, Ruili ^a  

^a MASSEY UNIVERSITY   (New Zealand)

Author keywords

Fuzzy linear regression; Fuzzy number; Least square method; Linear programming

Indexed keywords

DEPENDENT VARIABLES; FUZZY LINEAR REGRESSION; FUZZY NUMBER; INDEPENDENT VARIABLES; LEAST-SQUARE METHOD; NUMERICAL EXAMPLE;

DYNAMIC PROGRAMMING; FUZZY RULES; FUZZY SETS; LINEARIZATION;

LINEAR REGRESSION;

EID: 67649949571     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2009.02.023     Document Type: Article

References (29)

1. Bargiela A., Pedrycz W., and Nakashima T. Multiple regression with fuzzy data. Fuzzy Sets and Systems 158 19 (2007) 2169-2188
2. Chen S.P., and Dang J.F. A variable spread fuzzy linear regression model with higher explanatory power and forecasting accuracy. Information Sciences 178 (2008) 3973-3988
3. Coppi R. Management of uncertainty in statistical reasoning: the case of regression analysis. International Journal of Approximate Reasoning 47 3 (2008) 284-305
4. Coppi R., and D'Urso P. Regression analysis with fuzzy informational paradigm: a least-squares approach using membership function information. International Journal of Pure and Applied Mathematics 8 (2003) 279-306
5. 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
6. Diamond P. Fuzzy least squares. Information Science 46 (1988) 141-157
7. Dubois D., and Prade H. Fuzzy Sets and Systems: Theory and Application (1980), Academic Press, New York
8. D'Urso P. Linear regression analysis for fuzzy/crisp input and fuzzy/crisp output data. Computational Statistics and Data Analysis 42 1-2 (2003) 47-72
9. Hojati M., Bector C.R., and Smimou K. A simple method for computation of fuzzy linear regression. European Journal of Operational Research 166 1 (2005) 172-184
10. Hung W.L., and Yang M.S. An omission approach for detecting outliers in fuzzy regression models. Fuzzy Sets and Systems 157 23 (2006) 3109-3122
11. Kao C., and Chyu C.-L. A fuzzy linear regression model with better explanatory power. Fuzzy Sets and Systems 126 (2002) 401-409
12. Kao C., and Chyu C.-L. Least-squares estimates in fuzzy regression analysis. European Journal of Operational Research 148 (2003) 426-435
13. Kao C., and Lin P.H. Entropy for fuzzy regression analysis. International Journal of Systems Science 36 (2005) 869-876
14. C. Kahraman, A. Beskese, F.T. Bozbura, Fuzzy regression approaches and applications, in: Fuzzy Applications in Industrial Engineering, 2006, pp. 589-615.
15. Kim B., and Bishu R.R. Evaluation of fuzzy linear regression models by comparing membership functions. Fuzzy Sets and Systems 100 (1998) 343-352
16. Modarres M., Nasrabadi E., and Nasrabadi M.M. Fuzzy linear regression models with least square errors. Applied Mathematics and Computation 163 (2005) 977-989
17. Nasrabadi M.M., and Nasrabadi E. A mathematical-programming approach to fuzzy linear regression analysis. Applied Mathematics and Computation 155 3 (2004) 873-881
18. Nasrabadi M.M., Nasrabadi E., and Nasrabady A.R. Fuzzy linear regression analysis: a multi-objective programming approach. Applied Mathematics and Computation 163 (2005) 245-251
19. Özelkan E.C., and Duckstein L. Multi-objective fuzzy regression: a general framework. Computers & Operations Research 27 (2000) 635-652
20. Redden D.T., and Woodall W.H. Properties of certain fuzzy linear regression methods. Fuzzy Sets and Systems 64 (1994) 361-375
21. Sakawa M., and Yano H. Fuzzy linear regression and its applications. In: Kacprzyk J., and Fedrizzi M. (Eds). Fuzzy Regression Analysis (1992), Physica-Verlag, Heidelberg 61-80
22. Sakawa M., and Yano H. Multiobjective fuzzy linear regression analysis for fuzzy input-output data. Fuzzy Sets and Systems 47 (1992) 173-181
23. Shakouri H., Nadimi G.R., and Ghaderi F. Fuzzy linear regression models with absolute errors and optimum uncertainty. IEEE Internat. Conf. on Industrial Engineering and Engineering Management (2007) 917-921
24. Tanaka H., Hayashi I., and Watada J. Possibilistic linear regression analysis for fuzzy data. European Journal of Operational Research 40 (1989) 389-396
25. Tanaka H., Uejima S., and AsaL K. Linear regression analysis with fuzzy model. IEEE Transactions on Systems, Man and Cybernetics 12 (1982) 903-907
26. Tran L., and Duckstein L. Multiobjective fuzzy regression with central tendency and possibilistic properties. Fuzzy Sets and Systems 130 (2002) 21-31
27. Yang M.S., and Lin T.S. Fuzzy least-squares linear regression analysis for fuzzy input-output data. Fuzzy Sets and Systems 126 (2002) 389-399
28. Zadeh L.A. Fuzzy sets. Information and Control 8 (1965) 338-353
29. Zimmermann H.J. Fuzzy Set Theory and its Application (1991), Kluwer Academic Press, Dordrecht