...Davood Darvishi; Sifeng Liu; Jeffrey Yi-Lin Forrest Purpose The purpose of this paper is to survey and express the advantages and disadvantages of the existing approaches for solving grey linear programming in decision-making problems. Design/methodology/approach After presenting the concepts...

...Davood Darvishi Salookolaei; Seyed Hadi Nasseri Purpose For extending the common definitions and concepts of grey system theory to the optimization subject, a dual problem is proposed for the primal grey linear programming problem. Design/methodology/approach The authors discuss the solution...

.../methodology/approach In the proposed algorithm, first, lower and upper bounds of each objective function in its feasible region will be determined. Afterwards using fuzzy approach, considering a membership function for each objective function and finally using grey linear programming, the solution...

... With the objective to produce the least-cost diet, in the traditional model for optimizing the diet problem, the price of foods, the nutrients requirements and the necessity of foods requirement have been considered as grey interval numbers. Grey linear programming approach has been employed to solve the grey diet...

... 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...

...Qiao-Xing Li; Sifeng Liu; Nai-Ang Wang Purpose – This paper attempts to establish the general formula for computing the inverse of grey matrix, and the results are applied to solve grey linear programming. The inverse of a grey matrix and grey linear programming plays an important role...

... approach to generally solve the grey linear programming problems is based on the notion of order relation between interval grey numbers. This notion is applied to cascade the grey objective function to a bi‐objective problem based on the objective function of the original problem. The same approach...