A mathematical-programming approach to fuzzy linear regression analysis

Applied Mathematics and Computation

Volumn 155, Issue 3, 2004, Pages 873-881

  Nasrabadi, Mohammad Mehdi ^a   Nasrabadi, Ebrahim ^b  

^a UNIVERSITY OF BIRJAND   (Iran)

^b SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Fuzzy linear regression; Fuzzy numbers; Mathematical programming

Indexed keywords

FUNCTIONS; FUZZY SETS; LINEAR SYSTEMS; MATHEMATICAL MODELS; METHOD OF MOMENTS; OPERATIONS RESEARCH; REGRESSION ANALYSIS;

ARITHMETIC OPERATIONS; FUZZY ENVIRONMENT; FUZZY LINEAR REGRESSION; FUZZY NUMBERS;

MATHEMATICAL PROGRAMMING;

EID: 3242675121     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.07.031     Document Type: Article

References (26)

1. Change P.T. Fuzzy seasonality forecasting. Fuzzy Sets and Systems. 90:1997;1-10.
2. Change P.T., Konz S.A., Lee E.S. Applying fuzzy linear regression to VDT legibility. Fuzzy Sets and Systems. 80:1996;197-204.
3. Chen T., Wang M.J.J. Forecasting methods using fuzzy concepts. Fuzzy Sets and Systems. 105:1999;339-352.
4. Diamond P. Fuzzy least squares. Information Sciences. 46:1988;141-157.
5. Dubois D., Parde H. Fuzzy Sets and Systems: Theory and Application. 1980;Academic Press, New York.
6. Dubois D., Parde H. Ranking fuzzy numbers in the setting of possibility theory. Information Sciences. 30:1983;183-224.
7. D'Urso P. Linear regression analysis for fuzzy/crisp input and fuzzy/crisp output data. Computational Statistics and Data Analysis. 42:2003;47-72.
8. Heshmaty B., Kandel A. Fuzzy linear regression and its applications to forecasting in uncertain environment. Fuzzy Sets and Systems. 15:1985;159-191.
9. Hong D.H., Lee S., Do H.Y. Fuzzy linear regression analysis for fuzzy input-output data using shape-preserving operations. Fuzzy Sets and Systems. 122:2001;513-526.
10. Hong D.H., Song J.K., Do H.Y. Fuzzy least-squares regression analysis for fuzzy input-output data using shape preserving operations. Information Science. 138:2001;185-193.
11. Kao C., Chyu C.-L. Least-squares estimates in fuzzy regression analysis. European Journal of Operational Research. 148:2003;426-435.
12. Kim B., Bishu R.R. Evaluation of fuzzy linear regression models by comparison membership function. Fuzzy Sets and Systems. 100:1998;343-352.
13. Lai Y.J., Chang S.I. A fuzzy approach to multipersone optimization: An off-line quality engineering problem. Fuzzy Sets and Systems. 63:1994;117-129.
14. Redden D.T., Woodall W.H. Properties of certain fuzzy linear regression methods. Fuzzy Sets and Systems. 64:1994;361-375.
15. Sakawa M., Yano H. Multiobjective fuzzy linear regression analysis for fuzzy input-output. Fuzzy Sets and Systems. 47:1992;173-181.
16. Savic D.A., Pedrycz W. Evaluation of fuzzy linear regression models. Fuzzy Sets and Systems. 39:1991;51-63.
17. Tanaka H. Fuzzy data analysis by possibilistic linear models. Fuzzy Sets and Systems. 24:1987;363-375.
18. Tanaka H., Hayashi I., Watada J. Possibilistic linear regression analysis for fuzzy data. European Journal of Operational Research. 40:1989;389-396.
19. Tanaka H., Watada J. Possibilistic linear systems and their application to the linear regression model. Fuzzy Sets and Systems. 27:1988;275-289.
20. Tanaka H., Uejima S., Asia K. Linear regression analysis with fuzzy model. IEEE Transactions on Systems, Man and Cybernetics. 12:1982;903-907.
21. Tsaur R.C., Wang H.F., Yang J.-C.O. Fuzzy regression for seasonal time series analysis. International Journal of Information Technology and Decision Making. 1:2002;165-175.
22. Tseng F.-M., Tzeng G.-H. A fuzzy seasonal ARIMA model for forecasting. Fuzzy Sets and Systems. 126:2002;367-376.
23. Wang H.F., Tsaur R.C. Insight of a fuzzy regression model. Fuzzy Sets and Systems. 112:2000;355-369.
24. Wang H.F., Tsaur R.C. Resolution of fuzzy regression model. European Journal of Operational Research. 126:2000;637-650.
25. Wu H.-C. Fuzzy estimates of regression parameters in linear regression models for imprecise input and output data. Computational Statistics and Data Analysis. 48:2003;203-217.
26. Zadeh A. Fuzzy sets. Information and Control. 8:1965;338-353.