Intuitionistic fuzzy linear regression analysis

Authors:
R. Parvathi;C. Malathi;M. Akram;Krassimir T. Atanassov
Affiliations:
Department of Mathematics, Vellalar College for Women, Erode, India 638012;Department of Mathematics, Gobi Arts and Science College, Gobi, India 638456;Punjab University College of Information Technology, University of the Punjab, Lahore, Pakistan 54000;Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria
Venue:
Fuzzy Optimization and Decision Making
Year:
2013

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Abstract

Linear regression analysis in an intuitionistic fuzzy environment using intuitionistic fuzzy linear models with symmetric triangular intuitionistic fuzzy number (STriIFN) coefficients is introduced. The goal of this regression is to find the coefficients of a proposed model for all given input---output data sets. The coefficients of an intuitionistic fuzzy regression (IFR) model are found by solving a linear programming problem (LPP). The objective function of the LPP is to minimize the total fuzziness of the IFR model which is related to the width of IF coefficients. An illustrative example is also presented to depict the solution procedure of the IFR problem by using STriIFNs.