Solving intuitionistic fuzzy multi-objective linear programming problem and its application in supply chain management

Hassan Hassanpour; Elham Hosseinzadeh; Mahsa Moodi

Applications of Mathematics (2023)

  • Volume: 68, Issue: 3, page 269-287
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Hassanpour, Hassan, Hosseinzadeh, Elham, and Moodi, Mahsa. "Solving intuitionistic fuzzy multi-objective linear programming problem and its application in supply chain management." Applications of Mathematics 68.3 (2023): 269-287. <http://eudml.org/doc/299414>.

@article{Hassanpour2023,
abstract = {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.},
author = {Hassanpour, Hassan, Hosseinzadeh, Elham, Moodi, Mahsa},
journal = {Applications of Mathematics},
keywords = {multi-objective linear programming; intuitionistic fuzzy set; accuracy function; membership function; non-membership function; supplier selection},
language = {eng},
number = {3},
pages = {269-287},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Solving intuitionistic fuzzy multi-objective linear programming problem and its application in supply chain management},
url = {http://eudml.org/doc/299414},
volume = {68},
year = {2023},
}

TY - JOUR
AU - Hassanpour, Hassan
AU - Hosseinzadeh, Elham
AU - Moodi, Mahsa
TI - Solving intuitionistic fuzzy multi-objective linear programming problem and its application in supply chain management
JO - Applications of Mathematics
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 3
SP - 269
EP - 287
AB - 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.
LA - eng
KW - multi-objective linear programming; intuitionistic fuzzy set; accuracy function; membership function; non-membership function; supplier selection
UR - http://eudml.org/doc/299414
ER -

References

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