Entropy for fuzzy regression analysis

International Journal of Systems Science

Volumn 36, Issue 14, 2005, Pages 869-876

  Kao, Chiang ^a   Lin, Pei Huang ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Entropy; Fuzzy sets; Least squares method; Regression

Indexed keywords

FUZZY RESPONSE; LEAST-SQUARES METHOD; MEMBERSHIP VALUE;

ENTROPY; FUZZY SETS; INTELLIGENT AGENTS; MATHEMATICAL MODELS;

REGRESSION ANALYSIS;

EID: 31444433444     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207720500382290     Document Type: Article

References (22)

1. Y. Chang, "Hybrid fuzzy least-squares regression analysis and its reliability measures", Fuzzy Sets and Systems, 119, pp. 225-246, 2001.
2. C. Chen and C. Klein, "A simple approach to ranking a group of aggregated fuzzy utilities", IEEE Trans. Systems, Man and Cybernetics Part B, 27, pp. 26-35, 1997.
3. A. De Luca and S. Termini, "A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory", Information and Control, 20, pp. 301-312, 1972.
4. P. Diamond, "Fuzzy least squares", Information Sciences, 46, pp. 141-157, 1988.
5. D. Dubois and H. Prade, "Operations on fuzzy numbers", International Journal of Systems Science, 9, pp. 613-626, 1978.
6. B. Heshmaty and A. Kandel, "Fuzzy linear regression and its applications for forecasting in uncertain environment", Fuzzy Sets and Systems, 15, pp. 159-191, 1985.
7. C. Kao and C. Chyu, "A fuzzy linear regression model with better explanatory power", Fuzzy Sets and Systems, 126, pp. 401-409, 2002.
8. C. Kao and C. Chyu, "Least-squares estimates in fuzzy regression analysis", European Journal of Operational Research, 148, pp. 426-435, 2003.
9. B. Kim and R. Bishu, "Evaluation of fuzzy linear regression models by comparing membership functions", Fuzzy Sets and Systems, 100, pp. 343-352, 1998.
10. K. Kim, H. Moskowitz and M. Koksalan, "Fuzzy versus statistical linear regression", European Journal of Operational Research, 92, pp. 417-434, 1996.
11. J. Neter, M. Kutner, C. Nachtsheim and W. Wasserman, Applied Linear Statistical Models, 4th ed., Home wood, IL: Irwin, 1996.
12. W. Pedrycz, "Why triangular membership function?", Fuzzy Sets and Systems, 64, pp. 21-30, 1994.
13. G. Peters, "Fuzzy linear regression with fuzzy intervals", Fuzzy Sets and Systems, 63, pp. 45-55, 1994.
14. W. Sakawa and H. Yano, "Multiobjective fuzzy linear regression analysis for fuzzy input-output data", Fuzzy Sets and Systems, 47, pp. 173-181, 1992.
15. D. Savic and W. Pedrycz, "Evaluation of fuzzy linear regression models", Fuzzy Sets and Systems, 39, pp. 51-63, 1991.
16. H. Tanaka, "Fuzzy data analysis by possibilistic linear models", Fuzzy Sets and Systems, 24, pp. 363-375, 1987.
17. H. Tanaka, I. Hayashi and J. Watada, "Possibilistic linear regression analysis for fuzzy data", European Journal of Operational Research, 40, pp. 389-396, 1989.
18. H. Tanaka, S. Uejima and K. Asai, "Linear regression analysis with fuzzy model", IEEE Transactions on Systems, Man and Cybernetics, 12, pp. 903-907, 1982.
19. H. Tanaka and J. Watada, "Possibilistic linear systems and their application to the linear regression model", Fuzzy Sets and Systems, 27, pp. 275-289, 1988.
20. W. Wang and C. Chiu, "Entropy and information energy for fuzzy set", Fuzzy Sets and Systems, 108, pp. 333-339, 1999.
21. L. Zadeh, "Fuzzy sets as a basis for a theory of possibility", Fuzzy Sets and Systems, 1, pp. 3-28, 1978.
22. H. Zimmermann, Fuzzy Set Theory and its Applications, 3rd ed., Boston, MA: Kluwer-Academic, 1996.