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http://dx.doi.org/10.5626/JCSE.2013.7.4.263

Robust Fuzzy Varying Coefficient Regression Analysis with Crisp Inputs and Gaussian Fuzzy Output  

Yang, Zhihui (College of Sciences, East China Institute of Technology)
Yin, Yunqiang (College of Sciences, East China Institute of Technology)
Chen, Yizeng (School of Management, Shanghai University)
Publication Information
Journal of Computing Science and Engineering / v.7, no.4, 2013 , pp. 263-271 More about this Journal
Abstract
This study presents a fuzzy varying coefficient regression model after deleting the outliers to improve the feasibility and effectiveness of the fuzzy regression model. The objective of our methodology is to allow the fuzzy regression coefficients to vary with a covariate, and simultaneously avoid the impact of data contaminated by outliers. In this paper, fuzzy regression coefficients are represented by Gaussian fuzzy numbers. We also formulate suitable goodness of fit to evaluate the performance of the proposed methodology. An example is given to demonstrate the effectiveness of our methodology.
Keywords
Gaussian fuzzy number; Goodness of fit; Outlier; Fuzzy varying coefficient regression;
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