A GOAL PROGRAMMING APPROACH TO FUZZY LINEAR REGRESSION WITH NON-FUZZY INPUT AND FUZZY OUTPUT DATA

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. Furth...

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Bibliographic Details
Published in:Asia-Pacific journal of operational research 2009-10, Vol.26 (5), p.587-604
Main Authors: HASSANPOUR, H., MALEKI, H. R., YAGHOOBI, M. A.
Format: Article
Language:English
Subjects:
Decomposition
Fuzzy logic
Goal programming
Linear programming
Operations research
Regression analysis
Simulation
Studies
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Summary: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.
ISSN:0217-5959
1793-7019
0217-5959
DOI:10.1142/S0217595909002420