A mathematical-programming approach to fuzzy linear regression analysis

2004 ◽  
Vol 155 (3) ◽  
pp. 873-881 ◽  
Author(s):  
Mohammad Mehdi Nasrabadi ◽  
Ebrahim Nasrabadi
Keyword(s):  
Regression Analysis ◽  
Linear Regression ◽  
Mathematical Programming ◽  
Linear Regression Analysis ◽  
Programming Approach ◽  
Fuzzy Linear Regression ◽  
Mathematical Programming Approach

Intuitionistic fuzzy linear regression analysis

2012 ◽  
Vol 12 (2) ◽  
pp. 215-229 ◽  
Author(s):  
R. Parvathi ◽  
C. Malathi ◽  
M. Akram ◽  
Krassimir T. Atanassov
Keyword(s):  
Regression Analysis ◽  
Linear Regression ◽  
Linear Regression Analysis ◽  
Fuzzy Linear Regression ◽  
Intuitionistic Fuzzy

A Fuzzy Linear Regression Analysis for Fuzzy Input-Output Data Using the Least Squares Method under Linear Constraints and Its Application to Fuzzy Rating Data

1999 ◽  
Vol 3 (1) ◽  
pp. 36-41 ◽  
Author(s):  
Kazuhisa Takemura ◽  
Keyword(s):  
Regression Analysis ◽  
Linear Regression ◽  
Least Squares ◽  
Least Squares Method ◽  
Linear Regression Analysis ◽  
Linear Constraints ◽  
Fuzzy Linear Regression ◽  
Output Data ◽  
Rating Data ◽  
Fuzzy Input

Fuzzy linear regression analysis using the least squares method under linear constraint, where input data, output data, and coefficients are represented by triangular fuzzy numbers, was proposed and compared to possibilistic linear regression analysis proposed by Sakawa and Yano (1992) using fuzzy rating data in a psychological study. Major findings of the comparison were as follows: (1) Under the proposed analysis, the width between the maximum and minimum of the predicted model was nearer to the width of the dependent variable than that of possibilistic linear regression analysis, (2) the representative prediction by the proposed analysis was also nearer to that of the dependent variable, compared to that of possibilistic linear regression analysis.

scholarly journals Mathematical programming for piecewise linear regression analysis

2016 ◽  
Vol 44 ◽  
pp. 156-167 ◽  
Author(s):  
Lingjian Yang ◽  
Songsong Liu ◽  
Sophia Tsoka ◽  
Lazaros G. Papageorgiou
Keyword(s):  
Regression Analysis ◽  
Linear Regression ◽  
Mathematical Programming ◽  
Piecewise Linear ◽  
Linear Regression Analysis ◽  
Piecewise Linear Regression
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