Article
| Title: | Solving intuitionistic fuzzy multi-objective linear programming problem and its application in supply chain management (English) |
| Author: | Hassanpour, Hassan |
| Author: | Hosseinzadeh, Elham |
| Author: | Moodi, Mahsa |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 68 |
| Issue: | 3 |
| Year: | 2023 |
| Pages: | 269-287 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | 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. (English) |
| Keyword: | multi-objective linear programming |
| Keyword: | intuitionistic fuzzy set |
| Keyword: | accuracy function |
| Keyword: | membership function |
| Keyword: | non-membership function |
| Keyword: | supplier selection |
| MSC: | 03F55 |
| MSC: | 90B06 |
| MSC: | 90C08 |
| MSC: | 90C70 |
| idZBL: | Zbl 07729497 |
| idMR: | MR4586122 |
| DOI: | 10.21136/AM.2022.0265-21 |
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| Date available: | 2023-05-04T17:36:38Z |
| Last updated: | 2023-09-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151654 |
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