اخبار و اعلانات
آمار
| تعداد نشریات | 27 |
| تعداد شماره‌ها | 556 |
| تعداد مقالات | 5,734 |
| تعداد مشاهده مقاله | 8,017,353 |
| تعداد دریافت فایل اصل مقاله | 5,389,402 |
ESTIMATING THE PARAMETERS OF A FUZZY LINEAR REGRESSION MODEL | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 2، دوره 5، شماره 2، شهریور 2008، صفحه 1-19 اصل مقاله (246.89 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2008.322 | ||
| نویسندگان | ||
A. R. Arabpour1؛ M. Tata  2
| ||
| 1Faculty of Mathematics and Computer Sciences, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| 2Faculty of Mathematics and Computer Sciences, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| چکیده | ||
| Fuzzy linear regression models are used to obtain an appropriate linear relation between a dependent variable and several independent variables in a fuzzy environment. Several methods for evaluating fuzzy coefficients in linear regression models have been proposed. The first attempts at estimating the parameters of a fuzzy regression model used mathematical programming methods. In this thesis, we generalize the metric defined by Diamond and use it as a criterion to estimate these parameters. Our method, is not only computationally easy to handle, but, when compared with earlier methods, has a smaller the sum of errors of estimation. | ||
| کلیدواژه‌ها | ||
| Fuzzy linear regression؛ Least squares method؛ Estimate | ||
| مراجع | ||
|
[1] P. Diamond,Fuzzy least squares, Information Sciences, 46 (1988), 141-157. [2] D. H. Hong and C. Hwang,Support vector fuzzy regression machines, Fuzzy Sets and Systems, 138(2003), 271-281. [3] C. Kao and C. Chyu,A fuzzy linear regression model with better explanatory power, Fuzzy Sets and Systems,126 (2002), 401-409. [4] C. Kao and C. Chyu,Least-squares estimates in fuzzy regression analysis, European J. Oper. Res.,148 (2003), 426-435. [5] N. Kim , R. R. Bishu,Evaluation of fuzzy linear regression models by comparing membership functions, Fuzzy Sets and Systems, 100 (1998), 343-353. [6] M. L. Puri and D. A. Ralescu,Fuzzy random variables, J. Math. Anal. Appl., 114 (1986), 409-422. [7] M. Sakawa and H. Yano,Multiobjective fuzzy linear regression analysis for fuzzy input-output data, Fuzzy Sets and Systems, 47 (1992), 173-181.
[8] H. Tanaka,Fuzzy data analysis by possibilistic linear models, Fuzzy Sets and Systems, 24(1987), 363-375. [9] H. Tanaka, I. Hayashi and J.Watada,Possibilistic linear regression analysis with fuzzy model, European J. Oper. Res.,40 (1989), 389-396. [10] H. Tanaka and H. Lee,Interval regression analysis by quadratic programming approach, IEEE Trans. Systems Man Cybrnet.,6(4)(1988), 473-481. [11] H. Tanaka , S. Uegima and K. Asai,Linear regression analysis with fuzzy model. IEEE Trans. Systems Man Cybrnet.,12(6)(1982), 903-907. [12] H. Tanaka and J. Watada,Possibilistic systems and their application to the linear regression model, Fuzzy Sets and Systems, 27(1988), 275-289. [13] M. Yang and T. Lin,Fuzzy least-squares linear regression analysis for fuzzy input-output data, Fuzzy Sets and Systems, 126 (2002), 389-399. | ||
|
آمار تعداد مشاهده مقاله: 2,913 تعداد دریافت فایل اصل مقاله: 5,008 |
||
