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A note on “a multi-objective programming approach to solve grey linear programming”

Amin Mahmoudi (Department of Industrial Engineering, Shiraz Branch, Islamic Azad University, Shiraz, Iran)
Mohammad Reza Feylizadeh (Department of Industrial Engineering, Shiraz Branch, Islamic Azad University, Shiraz, Iran)
Davood Darvishi (Department of Mathematics, Payame Noor University, Tehran, Iran)

Grey Systems: Theory and Application

ISSN: 2043-9377

Article publication date: 5 February 2018

151

Abstract

Purpose

The purpose of this paper is to examine the shortcomings and problems associated with the method proposed by Razavi Hajiagha et al. (2012).

Design/methodology/approach

A multi-objective approach is proposed to solve the grey linear programming problems. In this method, the grey linear problem is converted into a multi-objective problem and then solved.

Findings

According to the numerical example presented in the study by Razavi Hajiagha et al. (2012), this method does not have a correct solution because the solution does not satisfy the constraints and the upper bounds of the variables are equal or less than their lower bound.

Originality/value

In recent years, various methods have been proposed for solving grey linear programming problems. Razavi Hajiagha et al. (2012) proposed a multi-objective approach to solve grey linear programming problems, but this method does not have a correct solution and using this method in other researches studies can reduce the value of the grey system theory.

Keywords

Citation

Mahmoudi, A., Feylizadeh, M.R. and Darvishi, D. (2018), "A note on “a multi-objective programming approach to solve grey linear programming”", Grey Systems: Theory and Application, Vol. 8 No. 1, pp. 35-45. https://doi.org/10.1108/GS-08-2017-0027

Publisher

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Emerald Publishing Limited

Copyright © 2018, Emerald Publishing Limited

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