FUZZY LINEAR REGRESSION MODEL WITH CRISP COEFFICIENTS: A GOAL PROGRAMMING APPROACH

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HASANPOUR H.; MALEKI H.R.; YAGHOUBI M.A.

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ISSN: 2588-4824

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Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2010 | Volume:7 | Issue:2 Page(s): 19-39

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Title

FUZZY LINEAR REGRESSION MODEL WITH CRISP COEFFICIENTS: A GOAL PROGRAMMING APPROACH

Author(s)

HASANPOUR H. | MALEKI H.R. | YAGHOUBI M.A. | Issue Writer Certificate

Keywords

FUZZY LINEAR REGRESSION

GOAL PROGRAMMING

LINEAR PROGRAMMING

FUZZY NUMBER

Abstract

The FUZZY LINEAR REGRESSION model with fuzzy input-output data and crisp coefficients is studied in this paper. A LINEAR PROGRAMMING model based on GOAL PROGRAMMING is proposed to calculate the regression coefficients. In contrast with most of the previous works, the proposed model takes into account the centers of fuzzy data’s an important feature as well as their spreads in the procedure of constructing the regression model. Furthermore, the model can deal with both symmetric and non-symmetric triangular fuzzy data as well as trapezoidal fuzzy data which have rarely been considered in the previous works. To show the efficiency of the proposed model, some numerical examples are solved and a simulation study is performed. The computational results are compared with some earlier methods.

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APA: Copy

HASANPOUR, H., MALEKI, H.R., & YAGHOUBI, M.A.. (2010). FUZZY LINEAR REGRESSION MODEL WITH CRISP COEFFICIENTS: A GOAL PROGRAMMING APPROACH. IRANIAN JOURNAL OF FUZZY SYSTEMS, 7(2), 19-39. SID. https://sid.ir/paper/581665/en

Vancouver: Copy

HASANPOUR H., MALEKI H.R., YAGHOUBI M.A.. FUZZY LINEAR REGRESSION MODEL WITH CRISP COEFFICIENTS: A GOAL PROGRAMMING APPROACH. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2010;7(2):19-39. Available from: https://sid.ir/paper/581665/en

IEEE: Copy

H. HASANPOUR, H.R. MALEKI, and M.A. YAGHOUBI, “FUZZY LINEAR REGRESSION MODEL WITH CRISP COEFFICIENTS: A GOAL PROGRAMMING APPROACH,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 7, no. 2, pp. 19–39, 2010, [Online]. Available: https://sid.ir/paper/581665/en

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