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Estimating daily peak load using symmetrical doubly linear adaptive-fuzzy regression model

Year 2015, Volume: 36 Issue: 3, 715 - 720, 13.05.2015

Tahereh Bahramı , Somayyeh Chashıanı

Abstract

Abstract. One appropriate and efficient model to estimate daily peak load is using fuzzy regression models. In this article, two types of fuzzy regression models named linear fuzzy regression and doubly linear adaptive-fuzzy regression are worked on. We will demonstrate by a practical example that the variance of doubly linear adaptive-fuzzy regression model is always lower than the variance of linear fuzzy model. 

Keywords

daily peak load linear fuzzy regression doubly linear regression daily peak load estimation

References

  • Dr. Jann-Huei Jinn Department of Statistics G rand Valley State University Allendale, Michigan, 94401
  • Dr. Chowan-Chin Song and Mr. J. C. Chao Department of Applied Mathematics National Cheng-Chi University Taipei, Tavian, R.O.C. J.Andres Sanchez, “Claim reserving with fuzzy regression and Taylors geometric )3 Separation method “, insurance: Mathematics and Economics, 40, (2007), 145-163.
  • Andrés, J.de, Terceno, A., 2003a. Applications of fuzzy regression in actuarial analysis.
  • Journal if Risk and Insurance 70 (4), 665-699. Buckley, P.L., Qu, Y., 1990. On using α-cuts to evaluate Fuzzy equations. Fuzzy Sets and Systems 29, 145-153
  • Derrig, R.A., Ostaszewski, K., 1998. Fuzzy sets methodologies in Actuarial Science. In:
  • Practical Applications of Fuzzy Technologies. Kluwer, Heidelberg, pp, 531-556. Dubois, D., Prade, H., 1993. Fuzzy numbers: An overview. In: Fuzzy Sets for Intelligent
  • Systems. Morgan Kaufmann Publishers, San Mateo (CA), PP. 113-148. Fedrizzi, M., Fedrizzi, M., Ostasiewicz, W., 1993. Towards fuzzy modeling in economics.
  • Fuzzy Sets and Systems 54, 259-268. Hojati, M., Bector, C.R., Smimou, K., 2005. A simple method for computation of fuzzy linear regression. European Journal of Operational Research 166, 172-184.
  • Salimiyan, Zohre. Amini, Farokh. Psc 2005.Application of fuzzy linear regression model to estimate the daily peak load a domestic feeder in Yazd. 20th international Power System Conference.

Year 2015, Volume: 36 Issue: 3, 715 - 720, 13.05.2015

Tahereh Bahramı , Somayyeh Chashıanı

Abstract

References

  • Dr. Jann-Huei Jinn Department of Statistics G rand Valley State University Allendale, Michigan, 94401
  • Dr. Chowan-Chin Song and Mr. J. C. Chao Department of Applied Mathematics National Cheng-Chi University Taipei, Tavian, R.O.C. J.Andres Sanchez, “Claim reserving with fuzzy regression and Taylors geometric )3 Separation method “, insurance: Mathematics and Economics, 40, (2007), 145-163.
  • Andrés, J.de, Terceno, A., 2003a. Applications of fuzzy regression in actuarial analysis.
  • Journal if Risk and Insurance 70 (4), 665-699. Buckley, P.L., Qu, Y., 1990. On using α-cuts to evaluate Fuzzy equations. Fuzzy Sets and Systems 29, 145-153
  • Derrig, R.A., Ostaszewski, K., 1998. Fuzzy sets methodologies in Actuarial Science. In:
  • Practical Applications of Fuzzy Technologies. Kluwer, Heidelberg, pp, 531-556. Dubois, D., Prade, H., 1993. Fuzzy numbers: An overview. In: Fuzzy Sets for Intelligent
  • Systems. Morgan Kaufmann Publishers, San Mateo (CA), PP. 113-148. Fedrizzi, M., Fedrizzi, M., Ostasiewicz, W., 1993. Towards fuzzy modeling in economics.
  • Fuzzy Sets and Systems 54, 259-268. Hojati, M., Bector, C.R., Smimou, K., 2005. A simple method for computation of fuzzy linear regression. European Journal of Operational Research 166, 172-184.
  • Salimiyan, Zohre. Amini, Farokh. Psc 2005.Application of fuzzy linear regression model to estimate the daily peak load a domestic feeder in Yazd. 20th international Power System Conference.
There are 9 citations in total.

Details

Journal Section Special
Authors

Tahereh Bahramı

Somayyeh Chashıanı This is me

Publication Date May 13, 2015
Published in Issue Year 2015 Volume: 36 Issue: 3

Cite

APA Bahramı, T., & Chashıanı, S. (2015). Estimating daily peak load using symmetrical doubly linear adaptive-fuzzy regression model. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, 36(3), 715-720.
AMA Bahramı T, Chashıanı S. Estimating daily peak load using symmetrical doubly linear adaptive-fuzzy regression model. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. May 2015;36(3):715-720.
Chicago Bahramı, Tahereh, and Somayyeh Chashıanı. “Estimating Daily Peak Load Using Symmetrical Doubly Linear Adaptive-Fuzzy Regression Model”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 36, no. 3 (May 2015): 715-20.
EndNote Bahramı T, Chashıanı S (May 1, 2015) Estimating daily peak load using symmetrical doubly linear adaptive-fuzzy regression model. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 36 3 715–720.
IEEE T. Bahramı and S. Chashıanı, “Estimating daily peak load using symmetrical doubly linear adaptive-fuzzy regression model”, Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, vol. 36, no. 3, pp. 715–720, 2015.
ISNAD Bahramı, Tahereh - Chashıanı, Somayyeh. “Estimating Daily Peak Load Using Symmetrical Doubly Linear Adaptive-Fuzzy Regression Model”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 36/3 (May 2015), 715-720.
JAMA Bahramı T, Chashıanı S. Estimating daily peak load using symmetrical doubly linear adaptive-fuzzy regression model. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. 2015;36:715–720.
MLA Bahramı, Tahereh and Somayyeh Chashıanı. “Estimating Daily Peak Load Using Symmetrical Doubly Linear Adaptive-Fuzzy Regression Model”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, vol. 36, no. 3, 2015, pp. 715-20.
Vancouver Bahramı T, Chashıanı S. Estimating daily peak load using symmetrical doubly linear adaptive-fuzzy regression model. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. 2015;36(3):715-20.