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A Goal Programming Approach To Fuzzy Linear Regression With Non-Fuzzy Input And Fuzzy Output Data

Author

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  • H. HASSANPOUR

    (Department of Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, I.R. of Iran)

  • H. R. MALEKI

    (Faculty of Basic Sciences, Shiraz University of Technology, Shiraz, I.R. of Iran)

  • M. A. YAGHOOBI

    (Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, I.R. of Iran)

Abstract

Many researches have been carried out in fuzzy linear regression since the past three decades. In this paper, a fuzzy linear regression model based on goal programming is proposed. The proposed model takes into account the centers of fuzzy data as an important feature as well as their spreads. Furthermore, the model can deal with both symmetric and non-symmetric data. To show the efficiency of proposed model, it is compared with some earlier methods based on simulation studies and numerical examples. Moreover, the sensitivity of the model to outliers is discussed.

Suggested Citation

  • H. Hassanpour & H. R. Maleki & M. A. Yaghoobi, 2009. "A Goal Programming Approach To Fuzzy Linear Regression With Non-Fuzzy Input And Fuzzy Output Data," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 26(05), pages 587-604.
    • Handle: RePEc:wsi:apjorx:v:26:y:2009:i:05:n:s0217595909002420
    DOI: 10.1142/S0217595909002420
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    Cited by:

    1. Shafaei Bajestani, Narges & Vahidian Kamyad, Ali & Nasli Esfahani, Ensieh & Zare, Assef, 2018. "Prediction of retinopathy in diabetic patients using type-2 fuzzy regression model," European Journal of Operational Research, Elsevier, vol. 264(3), pages 859-869.
    2. Soulef Smaoui & Belaid Aouni, 2017. "Fuzzy goal programming model for classification problems," Annals of Operations Research, Springer, vol. 251(1), pages 141-160, April.

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