تعداد نشریات | 27 |
تعداد شمارهها | 566 |
تعداد مقالات | 5,825 |
تعداد مشاهده مقاله | 8,162,948 |
تعداد دریافت فایل اصل مقاله | 5,461,496 |
A NOTE ON EVALUATION OF FUZZY LINEAR REGRESSION MODELS BY COMPARING MEMBERSHIP FUNCTIONS | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 2، دوره 6، شماره 2، شهریور 2009، صفحه 1-6 اصل مقاله (143.52 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2009.203 | ||
نویسندگان | ||
H. Hassanpour![]() ![]() | ||
1Department of Mathematics, University of Birjand, Birjand, Iran | ||
2Faculty of Basic Sciences, Shiraz University of Technology, Shiraz, Iran | ||
3Department of Statistics, Shahid Bahonar University of Kerman, Kerman, Iran | ||
چکیده | ||
Kim and Bishu (Fuzzy Sets and Systems 100 (1998) 343-352) proposed a modification of fuzzy linear regression analysis. Their modification is based on a criterion of minimizing the difference of the fuzzy membership values between the observed and estimated fuzzy numbers. We show that their method often does not find acceptable fuzzy linear regression coefficients and to overcome this shortcoming, propose a modification. Finally, we present two numerical examples to illustrate efficiency of the modified method. | ||
کلیدواژهها | ||
Fuzzy linear regression؛ Fuzzy number؛ Least-squares method. This paper is supported in part by Fuzzy Systems and Applications Center of Excellence؛ Shahid Bahonar University of Kerman؛ Kerman؛ I.R. of Iran | ||
مراجع | ||
[1] A. Abdalla and J. J. Buckley, Monte Carlo methods in fuzzy linear regression, Soft Computing, 11 (2007), 991-996. [2] S. Abbasbandy and M. Alavi, A method for solving fuzzy linear systems, Iranian Journal of Fuzzy Systems, 2(2) (2005), 37-44. [3] S. M. Abu Nayeem and M. Pal, The p-center problem on fuzzy networks and reduction of cost, Iranian Journal of Fuzzy Systems, 5(1) (2008), 1-26. [4] A. R. Arabpour and M. Tata, Estimating the parameters of a fuzzy linear regression model, Iranian Journal of Fuzzy Systems, 5(2) (2008), 1-19. [5] J. M. Cadenas and J. L. Verdegay, A primer on fuzzy optimization models and methods, Iranian Journal of Fuzzy Systems, 3(1) (2006), 1-22. [6] S. H. Choi and J. J. Buckley, Fuzzy regression using least absolute deviation estimators, Soft Computing, 12(3) (2008), 257-263. [7] C. Kao and C. L. Chyu, A fuzzy linear regression model with better explanatory power, Fuzzy Sets and Systems, 126 (2002), 401-409. [8] C. Kao and C. L. Chyu, Least-squares estimates in fuzzy regression analysis, European Journal of Operational Research, 148 (2003), 426-435. [9] B. Kim and R. R. Bishu, Evaluation of fuzzy linear regression models by comparing membership functions, Fuzzy Sets and Systems, 100 (1998), 343-352. [10] H. Lee and H. Tanaka, Upper and lower approximation models in interval regression using regression quantile techniques, European Journal of Operational Research, 116 (1999), 653- 666. [11] MATLAB 7.0, The Mathworks, (www.mathworks.com). [12] M. Modarres, E. Nasrabadi and M. M. Nasrabadi, Fuzzy linear regression models with least square errors, Applied Mathematics and Computation, 163 (2005), 977-989. [13] J. Mohammadi and S. M. Taheri, Pedomodels fitting with fuzzy least squares regression, Iranian Journal of Fuzzy Systems, 1(29) (2004), 45-62. [14] M. Sakawa and H. Yano, Fuzzy linear regression and its applications, In: J. Kacprzyk and M. Fedrizzi (Eds.), Studies in fuzziness, fuzzy regression analysis, Omnitech Press, Warsaw, Poland, (1992), 61-80. [15] M. R. Safi, H. R. Maleki and E. Zaeimazad, A note on Zimmermann method for solving fuzzy linear programming problems, Iranian Journal of Fuzzy Systems, 4(2) (2007), 31-46. [16] E. Shivanian, E. Khorram and A. Ghodousian, Optimization of linear objective function subject to fuzzy relation inequalities constraints with Max-average composition, Iranian Journal of Fuzzy Systems, 4(2) (2007), 15-30. [17] S. M. Vaezpour and F. Karimi, t-Best approximation in fuzzy normed spaces, Iranian Journal of Fuzzy Systems, 5(2) (2008), 93-99. [18] H. C. Wu, Fuzzy linear regression model based on fuzzy scalar product, Soft Computing, 12 (2008), 469-477. [19] M. A. Yaghoobi and M. Tamiz, A Short note on the relationship between goal programming and fuzzy programming for vectormaximum problems, Iranian Journal of Fuzzy Systems, 2 (2) (2005), 31-36. [20] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353. | ||
آمار تعداد مشاهده مقاله: 2,285 تعداد دریافت فایل اصل مقاله: 2,440 |