Title of article
A WEIGHTED GOAL PROGRAMMING APPROACH TO FUZZY LINEAR REGRESSION WITH QUASI TYPE-2 FUZZY INPUT-OUTPUT DATA
Author/Authors
HOSSEINZADEH, E Faculty of Mathematical Science and Statistics - Department of Mathematics - University of Birjand - Birjand, Iran , HASSANPOUR, H Faculty of Mathematical Science and Statistics - Department of Mathematics - University of Birjand - Birjand, Iran , AREFI, M Faculty of Mathematical Science and Statistics - Department of Statistics - University of Birjand - Birjand, Iran , AMAN, M Faculty of Mathematical Science and Statistics - Department of Mathematics - University of Birjand - Birjand, Iran
Pages
20
From page
193
To page
212
Abstract
This study attempts to develop a regression model when both input data
and output data are quasi type-2 fuzzy numbers. To estimate the crisp parameters of
the regression model, a linear programming model is proposed based on goal programming. To handle the outlier problem, an omission approach is proposed. This approach
examines the behavior of value changes in the objective function of proposed model
when observations are omitted. In order to illustrate the proposed model, some numerical examples are presented. The applicability of the proposed method is tested on a
real data set on soil science. The predictive performance of the model is examined by
cross-validation.
Keywords
fuzzy linear regression , goal programming , type-2 fuzzy set , uncertainty , , quasi type-2 fuzzy number
Journal title
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
Serial Year
2016
Record number
2580895
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