A general piecewise necessity regression analysis based on linear programming

Fuzzy Sets and Systems

Volumn 105, Issue 3, 1999, Pages 429-436

  Yu, Jing Rung ^a   Tzeng, Gwo Hshiung ^a   Li, Han Lin ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

Fuzzy linear regression; Necessity area; Piecewise regression

Indexed keywords

FUZZY SETS; MATHEMATICAL MODELS; PIECEWISE LINEAR TECHNIQUES; REGRESSION ANALYSIS;

FUZZY LINEAR REGRESSION; GENERAL PIECEWISE NECESSITY REGRESSION ANALYSIS;

LINEAR PROGRAMMING;

EID: 0032660521     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(97)00223-6     Document Type: Article

References (14)

1. [1] D. Dubois, H. Prade, Possibility Theory, Prenum Press, New York, 1988.
2. [2] H.L. Li, J.R. Yu, Estimation of piecewise regression with unknown change-points by a modified goal programming method, SIAM J. Sci. Comput., 1996, submitted.
3. [3] D.C. Montgomery, Introduction to Linear Regression Analysis, Wiley, New York, 1992.
4. [4] D.T. Redden, W.H. Woodal, Properties of certain fuzzy linear regression methods, Fuzzy Sets and Systems 64 (1994) 361-375.
5. [5] M. Sakawa, H. Yano, Multiobjective fuzzy linear regression analysis for fuzzy input-output data, Fuzzy Sets and Systems 46 (1992) 173-181.
6. [6] M. Sakawa, H. Yano, Fuzzy linear regression and its application, in: J. Kacprzyk, M. Fedrizzi (Eds.), Studies in Fuzziness, Fuzzy Regression Analysis, vol. 1, Omnitech Press, Warsaw, Poland, 1992, 61-80.
7. [7] G.A.F. Seber, C.J. Wild, Nonlinear Regression, Wiley, 1989.
8. [8] H. Tanaka, Fuzzy data analysis by possibilistic linear models, Fuzzy Sets and Systems 28 (1987) 363-375.
9. [9] H. Tanaka, I. Hayashi, J. Watada, Possibilistic linear regression analysis for fuzzy data, European J. Oper. Res. 40 (1989) 389-396.
10. [10] H. Tanaka, H. Ishibuchi, Possibilistic regression analysis based on linear programming, in: J. Kacprzyk, M. Fedrizzi (Eds.), Studies in Fuzziness, Fuzzy Regression Analysis, vol. 1, Omnitech Press, Warsaw, Poland, 1992, pp. 47-60.
11. [11] H. Tanaka, S. Uejima, K. Asai, Linear regression analysis with fuzzy regression model, IEEE Trans. Systems, Man and Cybernet. 12 (1982) 903-907.
12. [12] H. Tanaka, J. Watada, Possibilistic linear systems and their application to the linear regression model, Fuzzy Sets and Systems 27 (1988) 275-289.
13. [13] W.L. Winston, Operations Research: Applications and Algorithm, PWS, KENT, 1987.
14. [14] L.A. Zadeh, Fuzzy sets as basis for a theory of possibility, Fuzzy Sets and Systems 27 (1977) 3-28.