Dual models for possibilistic regression analysis

Computational Statistics and Data Analysis

Volumn 51, Issue 1, 2006, Pages 253-266

  Guo, Peijun ^a   Tanaka, Hideo ^b  

^a KAGAWA UNIVERSITY   (Japan)

^b HIROSHIMA INTERNATIONAL UNIVERSITY   (Japan)

Author keywords

Linear programming; Possibilistic regression analysis; Quadratic programming; Rough sets

Indexed keywords

DATA REDUCTION; FUZZY SETS; LINEAR PROGRAMMING; MATHEMATICAL MODELS; QUADRATIC PROGRAMMING; UNCERTAIN SYSTEMS;

FUZZY OUTPUTS; INTERVAL OUTPUTS; POSSIBILISTIC REGRESSION ANALYSIS;

REGRESSION ANALYSIS;

EID: 33750284215     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2006.04.005     Document Type: Article

References (29)

1. Celmins A. Least squares model fitting to fuzzy vector data. Fuzzy Sets and Systems 22 (1987) 245-269
2. Chen Y. Outliers detection and confidence interval modification in fuzzy regression. Fuzzy Sets and Systems 119 (2001) 259-272
3. Cheng C., and Lee E. Fuzzy regression with radial basis function network. Fuzzy Sets and Systems 119 (2001) 291-301
4. Diamond P. Fuzzy least squares. Inform. Sci. 46 (1988) 141-157
5. Dunyak J., and Wunsch D. Fuzzy regression by fuzzy number neural networks. Fuzzy Sets and Systems 112 (2000) 371-380
6. Guo P., and Tanaka H. Decision analysis based on fused double exponential possibility distributions. European J. Oper. Res. 148 (2003) 467-479
7. Guo P., and Tanaka H. Upper and lower possibility distributions with rough set concepts. In: Inuiguchi M., Hirano S., and Tsumoto S. (Eds). Rough Set Theory and Granular Computing (2003), Physica-Verlag, Wurzburg 243-250
8. Guo P., Tanaka H., and Zimmermann H.-J. Upper and lower possibility distributions of fuzzy decision variables in upper level decision problems. Fuzzy Sets and Systems 111 (2000) 71-79
9. Ishibushi H., and Nii M. Fuzzy regression using asymmetric fuzzy coefficients and fuzzified neural networks. Fuzzy Sets and Systems 119 (2001) 273-290
10. Kao C., and Chyu C. Least-squares estimates in fuzzy regression analysis. European J. Oper. Res. 148 (2003) 426-435
11. Lee H., and Tanaka H. Upper and lower approximation models in interval regression using regression quantile techniques. European J. Oper. Res. 116 (1999) 653-666
12. Pawlak Z. Rough classification. Internat. J. Man-Machine Studies 20 (1984) 469-485
13. Sugihara K., Ishii H., and Tanaka H. Interval priorities in AHP by interval regression analysis. European J. Oper. Res. 158 (2004) 745-754
14. Tanaka H. Fuzzy data analysis by possibilistic linear models. Fuzzy Sets and Systems 24 (1987) 363-375
15. Tanaka H., and Guo P. Possibilistic Data Analysis for Operations Research (1999), Physica-Verlag, Wurzburg February
16. Tanaka H., and Guo P. Possibilistic regression analysis. In: Ralescu D.A., Bertoluzza B., and Gil M.A. (Eds). Statistical Modeling, Analysis and Management of Fuzzy Data (2002), Physica-Verlag, Wurzburg 239-254
17. Tanaka H., and Guo P. Possibility data analysis and its similarity to rough set concepts. In: Lin T.Y., Yao Y.Y., and Zadeh L.A. (Eds). Data Mining, Rough Sets and Granular Computing (2002), Physica-Verlag, Wurzburg 518-536
18. Tanaka H., and Ishibuchi H. Identification of possibilistic linear system by quadratic membership functions. Fuzzy Sets and Systems 36 (1991) 145-160
19. Tanaka H., and Lee H. Interval regression analysis by quadratic programming approach. IEEE Trans. Fuzzy Systems 6 (1998) 473-481
20. Tanaka H., and Watada J. Possibilistic linear systems and their application to the linear regression model. Fuzzy Sets and Systems 27 (1988) 275-289
21. Tanaka H., Uejima S., and Asai K. Linear regression analysis with fuzzy model. IEEE Trans. Systems, Man Cybernet. 12 (1982) 903-907
22. Tanaka H., Hayashi I., and Watada J. Possibilistic linear regression analysis for fuzzy data. European J. Oper. Res. 40 (1989) 389-396
23. Tanaka H., Ishibuchi H., and Yoshikawa S. Exponential possibility regression analysis. Fuzzy Sets and Systems 69 (1995) 305-318
24. Tanaka H., Lee H., and Guo P. Possibility data analysis with rough set concept. Proceeding of Sixth IEEE International Conference on Fuzzy Systems (1998) 117-122
25. Tran L., and Duckstein L. Multiobjective fuzzy regression with central tendency and possibilistic properties. Fuzzy Sets and Systems 130 (2002) 21-31
26. D'Urso P. Linear regression analysis for fuzzy/crisp input and fuzzy/crisp output. Comput. Statist. Data Anal. 42 (2003) 47-72
27. D'Urso P., and Giordani P. A possibilistic approach to latent component analysis for symmetric fuzzy data. Fuzzy Sets and Systems 150 (2005) 285-305
28. Wang H., and Tsaur R. Insight of a fuzzy regression model. Fuzzy Sets and Systems 112 (2000) 355-369
29. Wu H. Fuzzy estimates of regression parameters in linear regression models for imprecise input and output data. Comput. Statist. Data Anal. 42 (2003) 203-217