Geodesic
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.

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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.
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. http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0265-21/

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