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Solving intuitionistic fuzzy multi-objective linear programming problem and its application in supply chain management
Applications of Mathematics, Tome 68 (2023) no. 3, pp. 269-287 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The aim of this paper is solving an intuitionistic fuzzy multi-objective linear programming problem containing intuitionistic fuzzy parameters, intuitionistic fuzzy maximization/minimization, and intuitionistic fuzzy constraints. To do this, a linear ranking function is used to convert the intuitionistic fuzzy parameters to crisp ones first. Then, linear membership and non-membership functions are used to manipulate intuitionistic fuzzy maximization/minimization and intuitionistic fuzzy constraints. Then, a multi-objective optimization problem is formulated containing maximization of membership functions and minimization of non-membership functions. To solve this problem, the minimax and weighted sum methods are used. Then, the described procedure is summarized as an algorithm to solve the problem, and a numerical example is solved by the proposed method. Finally, to investigate the capability and performance of the model, a supplier selection problem, which is one of the important applications in supply chain management, is solved by the proposed algorithm.
The aim of this paper is solving an intuitionistic fuzzy multi-objective linear programming problem containing intuitionistic fuzzy parameters, intuitionistic fuzzy maximization/minimization, and intuitionistic fuzzy constraints. To do this, a linear ranking function is used to convert the intuitionistic fuzzy parameters to crisp ones first. Then, linear membership and non-membership functions are used to manipulate intuitionistic fuzzy maximization/minimization and intuitionistic fuzzy constraints. Then, a multi-objective optimization problem is formulated containing maximization of membership functions and minimization of non-membership functions. To solve this problem, the minimax and weighted sum methods are used. Then, the described procedure is summarized as an algorithm to solve the problem, and a numerical example is solved by the proposed method. Finally, to investigate the capability and performance of the model, a supplier selection problem, which is one of the important applications in supply chain management, is solved by the proposed algorithm.
DOI : 10.21136/AM.2022.0265-21
Classification : 03F55, 90B06, 90C08, 90C70
Keywords: multi-objective linear programming; intuitionistic fuzzy set; accuracy function; membership function; non-membership function; supplier selection 
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Hassanpour, Hassan; Hosseinzadeh, Elham; Moodi, Mahsa. Solving intuitionistic fuzzy multi-objective linear programming problem and its application in supply chain management. Applications of Mathematics, Tome 68 (2023) no. 3, pp. 269-287. doi: 10.21136/AM.2022.0265-21

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