A simple method for computation of fuzzy linear regression

European Journal of Operational Research

Volumn 166, Issue 1 SPEC. ISS., 2005, Pages 172-184

  Hojati, Mehran ^a   Bector, C R ^b   Smimou, Kamal ^b  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

^b UNIVERSITY OF MANITOBA   (Canada)

Author keywords

Fuzzy regression; Fuzzy sets; Linear programming

Indexed keywords

COMPUTATIONAL METHODS; LINEAR PROGRAMMING; PROBLEM SOLVING; REGRESSION ANALYSIS;

FUZZY NUMBERS; FUZZY REGRESSION; LINEAR REGRESSION;

FUZZY SETS;

EID: 13544267455     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2004.01.039     Document Type: Article

References (13)

1. Bardossy A. Note on fuzzy regression. Fuzzy Sets and Systems. 37:1990;65-75
2. Bardossy A., Bogardi I., Duckstein L. Fuzzy regression in hydrology. Water Resources Research. 26:1990;1497-1508
3. Celmins A. Least squares model fitting to fuzzy vector data. Fuzzy Sets and Systems. 22:1987;245-269
4. Jozsef S. On the effect of linear data transformations in possibilistic fuzzy linear regression. Fuzzy Sets and Systems. 45:1992;185-188
5. Lee H., Tanaka H. Upper and lower approximation models in interval regression using regression quantile techniques. European Journal of Operational Research. 116:1999;653-666
6. Ozelkan E.C., Duckstein L. Multi-objective fuzzy regression: A general framework. Computers and Operations Research. 27:2000;635-652
7. Peters G. Fuzzy linear regression with fuzzy intervals. Fuzzy Sets and Systems. 63:1994;45-55
8. Redden D.T., Woodall W.H. Properties of certain fuzzy linear regression methods. Fuzzy Sets and Systems. 64:1994;361-375
9. Savic D.A., Pedrycz W. Evaluation of fuzzy linear regression models. Fuzzy Sets and Systems. 39:1991;51-63
10. Sawaka M., Yano H. Multiobjective fuzzy linear regression analysis for fuzzy input-output data. Fuzzy Sets and Systems. 47:1992;173-181
11. Tanaka H., Hayashi I., Watada J. Possibilistic linear regression analysis for fuzzy data. European Journal of Operational Research. 40:1989;389-396
12. Tanaka H., Ishibuchi H. Identification of possibilistic linear systems by quadratic membership functions of fuzzy parameters. Fuzzy Sets and Systems. 41:1991;145-160
13. Tanaka H., Uejima S., Asai K. Linear regression analysis with fuzzy model. IEEE Transactions on Systems, Man, and Cybernetics. 12:1982;903-907