Designing an Intuitionistic Fuzzy Network Data Envelopment Analysis Model for Efficiency Evaluation of Decision-Making Units with Two-Stage Structures
Data envelopment analysis (DEA) is a powerful tool for evaluating the efficiency of decision-making units for ranking and comparison purposes and to differentiate efficient and inefficient units. Classic DEA models are ill-suited for the problems where decision-making units consist of multiple stage...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2021/8860634 |
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| author | Nafiseh Javaherian Ali Hamzehee Hossein Sayyadi Tooranloo |
| author_facet | Nafiseh Javaherian Ali Hamzehee Hossein Sayyadi Tooranloo |
| author_sort | Nafiseh Javaherian |
| collection | DOAJ |
| description | Data envelopment analysis (DEA) is a powerful tool for evaluating the efficiency of decision-making units for ranking and comparison purposes and to differentiate efficient and inefficient units. Classic DEA models are ill-suited for the problems where decision-making units consist of multiple stages with intermediate products and those where inputs and outputs are imprecise or nondeterministic, which is not uncommon in the real world. This paper presents a new DEA model for evaluating the efficiency of decision-making units with two-stage structures and triangular intuitionistic fuzzy data. The paper first introduces two-stage DEA models, then explains how these models can be modified with intuitionistic fuzzy coefficients, and finally describes how arithmetic operators for intuitionistic fuzzy numbers can be used for a conversion into crisp two-stage structures. In the end, the proposed method is used to solve an illustrative numerical example. |
| format | Article |
| id | doaj-art-4711ac5f6255444987831470284fedf5 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-4711ac5f6255444987831470284fedf52025-02-03T01:28:31ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2021-01-01202110.1155/2021/88606348860634Designing an Intuitionistic Fuzzy Network Data Envelopment Analysis Model for Efficiency Evaluation of Decision-Making Units with Two-Stage StructuresNafiseh Javaherian0Ali Hamzehee1Hossein Sayyadi Tooranloo2Department of Applied Mathematics, Kerman Branch, Islamic Azad University, Kerman, IranDepartment of Applied Mathematics, Kerman Branch, Islamic Azad University, Kerman, IranDepartment of Management, Meybod University, Meybod, IranData envelopment analysis (DEA) is a powerful tool for evaluating the efficiency of decision-making units for ranking and comparison purposes and to differentiate efficient and inefficient units. Classic DEA models are ill-suited for the problems where decision-making units consist of multiple stages with intermediate products and those where inputs and outputs are imprecise or nondeterministic, which is not uncommon in the real world. This paper presents a new DEA model for evaluating the efficiency of decision-making units with two-stage structures and triangular intuitionistic fuzzy data. The paper first introduces two-stage DEA models, then explains how these models can be modified with intuitionistic fuzzy coefficients, and finally describes how arithmetic operators for intuitionistic fuzzy numbers can be used for a conversion into crisp two-stage structures. In the end, the proposed method is used to solve an illustrative numerical example.http://dx.doi.org/10.1155/2021/8860634 |
| spellingShingle | Nafiseh Javaherian Ali Hamzehee Hossein Sayyadi Tooranloo Designing an Intuitionistic Fuzzy Network Data Envelopment Analysis Model for Efficiency Evaluation of Decision-Making Units with Two-Stage Structures Advances in Fuzzy Systems |
| title | Designing an Intuitionistic Fuzzy Network Data Envelopment Analysis Model for Efficiency Evaluation of Decision-Making Units with Two-Stage Structures |
| title_full | Designing an Intuitionistic Fuzzy Network Data Envelopment Analysis Model for Efficiency Evaluation of Decision-Making Units with Two-Stage Structures |
| title_fullStr | Designing an Intuitionistic Fuzzy Network Data Envelopment Analysis Model for Efficiency Evaluation of Decision-Making Units with Two-Stage Structures |
| title_full_unstemmed | Designing an Intuitionistic Fuzzy Network Data Envelopment Analysis Model for Efficiency Evaluation of Decision-Making Units with Two-Stage Structures |
| title_short | Designing an Intuitionistic Fuzzy Network Data Envelopment Analysis Model for Efficiency Evaluation of Decision-Making Units with Two-Stage Structures |
| title_sort | designing an intuitionistic fuzzy network data envelopment analysis model for efficiency evaluation of decision making units with two stage structures |
| url | http://dx.doi.org/10.1155/2021/8860634 |
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