Öz
In this study, nonparametric fuzzy regression models are considered. Existing fuzzy regression models are compared with improved fuzzy version of local nonparametric cubic regression model. In this new approach, it is found that performance of this model has better results according to others.
Anahtar Kelimeler
Fuzzy nonparametric regression LR Fuzzy number Local polynomial smoothing
Kaynakça
- Cheng, C. B., Lee E. S., 1999. Nonparametric Fuzzy Regression - k-NN and Kernel Smothing Techniques, Computers and Mathematical with Applications, 38, 239-251.
- Cheng, C. B., Lee E. S., 2001. Fuzzy Regression with Radial Basis Function Networks, Fuzzy Sets and Systems, 119,291-301.
- Diamond, P., 1988. Fuzzy Least Squares, Information Sciences 46,141-157.
- Fan, J., Gijbels, I., 1996. Local Polinomial Modelling and its Applications, Chapman & Hall/CRe.
- Hong, H., Song, J.K., Do, H., 2001. Fuzzy Least Squares Linear Regression Analysis Using Shape Preserving Operations, Information Sciences 138, 185-193.
- Hong, Y. Y., Chao, Z. T., Yang, M. S. (2004). A Fuzzy Multiple Linear Regression Based Loss Formula in Electric Distribution Systems, Fuzzy Sets and Systems 142, 293-306.
- Ishibuchi, H., Tanaka, H. (1992). Fuzzy Regression Analysis Using Neural Networks, Fuzzy Sets and Systems 50, 257-265.
- Kao, C., Chyu, C. L., 2002. A Fuzzy Linear Regression Model with Better Explanatory Power, Fuzzy Sets and Systems 126,401-409.
- Loader, C., 1999. Local Regression and Likelihood, Springer. Nasrabadi, M., Nasrabadi, E., 2004. A Mathematical-Programming Approach to Fuzzy Linear Regression Analysis, Applied Mathem. and Computation 155,673-688.
- Sanchez, J. D., Gomez, A. T., 2003. Applications of Fuzzy Regression in Actuarial Analysis, Journal of Risk Insurance 70, 665-699.
- Tanaka, H., Uejima, S., Asai, K., 1982. Linear Regression Analysis with Fuzzy Model, IEEE Transactions on Systems, Man. and Cybernetics 12,903-907.
- Wang, N., Zhang, W. X., Mei, C. L., 2007. Fuzzy Nonparametric Regression Based on Local Linear Smoothing Technique, An International Journal Information Sciences, 177, 3882-3900.
- Wood, S. N., 2006. Generalized Additive Models (An Introduction with R), Chapman & Hall/CRC.
Öz
Bu çalışmada parametrik olmayan bulanık regresyon modelleri göz önüne alınmıştır. Mevcut bulanık regresyon modelleri, bulanık versiyonu geliştirilen parametrik olmayan yerel kübik regresyon modeli ile karşılaştırılmıştır. Bu yeni yaklaşımda, önerilen modelin performansının diğerlerine göre daha iyi sonuçlara sahip olduğu bulunmuştur.
Anahtar Kelimeler
Bulanık parametrik olmayan regresyon LR bulanık sayısı Yerel polinomiyal düzeltme
Kaynakça
- Cheng, C. B., Lee E. S., 1999. Nonparametric Fuzzy Regression - k-NN and Kernel Smothing Techniques, Computers and Mathematical with Applications, 38, 239-251.
- Cheng, C. B., Lee E. S., 2001. Fuzzy Regression with Radial Basis Function Networks, Fuzzy Sets and Systems, 119,291-301.
- Diamond, P., 1988. Fuzzy Least Squares, Information Sciences 46,141-157.
- Fan, J., Gijbels, I., 1996. Local Polinomial Modelling and its Applications, Chapman & Hall/CRe.
- Hong, H., Song, J.K., Do, H., 2001. Fuzzy Least Squares Linear Regression Analysis Using Shape Preserving Operations, Information Sciences 138, 185-193.
- Hong, Y. Y., Chao, Z. T., Yang, M. S. (2004). A Fuzzy Multiple Linear Regression Based Loss Formula in Electric Distribution Systems, Fuzzy Sets and Systems 142, 293-306.
- Ishibuchi, H., Tanaka, H. (1992). Fuzzy Regression Analysis Using Neural Networks, Fuzzy Sets and Systems 50, 257-265.
- Kao, C., Chyu, C. L., 2002. A Fuzzy Linear Regression Model with Better Explanatory Power, Fuzzy Sets and Systems 126,401-409.
- Loader, C., 1999. Local Regression and Likelihood, Springer. Nasrabadi, M., Nasrabadi, E., 2004. A Mathematical-Programming Approach to Fuzzy Linear Regression Analysis, Applied Mathem. and Computation 155,673-688.
- Sanchez, J. D., Gomez, A. T., 2003. Applications of Fuzzy Regression in Actuarial Analysis, Journal of Risk Insurance 70, 665-699.
- Tanaka, H., Uejima, S., Asai, K., 1982. Linear Regression Analysis with Fuzzy Model, IEEE Transactions on Systems, Man. and Cybernetics 12,903-907.
- Wang, N., Zhang, W. X., Mei, C. L., 2007. Fuzzy Nonparametric Regression Based on Local Linear Smoothing Technique, An International Journal Information Sciences, 177, 3882-3900.
- Wood, S. N., 2006. Generalized Additive Models (An Introduction with R), Chapman & Hall/CRC.
Ayrıntılar
| Birincil Dil | Türkçe |
|---|---|
| Konular | Ekonometrik ve İstatistiksel Yöntemler |
| Bölüm | Araştırma Makaleleri |
| Yazarlar | |
| Yayımlanma Tarihi | 15 Ağustos 2012 |
| Yayımlandığı Sayı | Yıl 2012 Cilt: 9 Sayı: 2 |
