A novel modified Khatter’s approach for solving Neutrosophic Data Envelopment Analysis
The evaluation of the performance of decision-making units (DMUs) that use comparable inputs to produce related outputs can be accomplished through a non-parametric linear programming (LP) technique called Data Envelopment Analysis (DEA). However, the observed data are occasionally imprecise, ambigu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Croatian Operational Research Society
2023-01-01
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| Series: | Croatian Operational Research Review |
| Subjects: | |
| Online Access: | https://hrcak.srce.hr/file/440897 |
| _version_ | 1797206362183172096 |
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| author | Kshitish Kumar Mohanta Deena Sunil Sharanappa Abha Aggarwal |
| author_facet | Kshitish Kumar Mohanta Deena Sunil Sharanappa Abha Aggarwal |
| author_sort | Kshitish Kumar Mohanta |
| collection | DOAJ |
| description | The evaluation of the performance of decision-making units (DMUs) that use comparable inputs to produce related outputs can be accomplished through a non-parametric linear programming (LP) technique called Data Envelopment Analysis (DEA). However, the observed data are occasionally imprecise, ambiguous, inadequate, and inconsistent which may result in incorrect decision-making when these criteria are ignored. Neutrosophic Set (NS) is an extension of fuzzy sets which is used to represent unclear, erroneous, missing, and wrong information. This paper proposes a neutrosophic version of the DEA model, and a novel solution technique for Neutrosophic DEA (Neu-DEA) model. The possibility mean for triangular neutrosophic number (TNN) is redefined and modified the Khatter’s approach to convert directly the Neu-DEA model into its crisp DEA model. As a result, the Neu-DEA model is simplified to a crisp LP problem with a risk parameter (δ ∈ [0, 1]) that represents the attitude of the decision-maker towards taking risk. The efficiency score of the DMUs is computed by using various risk factors and divided into efficient and inefficient groups. The ranking of DMUs is determined by calculating the mean efficiency score of DMUs, which is based on various risk parameters. A numerical example is illustrated here to describe the suggested approach’s flexibility and authenticity and compared with some of the existing approaches. |
| first_indexed | 2024-04-24T09:05:48Z |
| format | Article |
| id | doaj.art-17079cb24ced45648e0c3f3576ec898d |
| institution | Directory Open Access Journal |
| issn | 1848-0225 1848-9931 |
| language | English |
| last_indexed | 2024-04-24T09:05:48Z |
| publishDate | 2023-01-01 |
| publisher | Croatian Operational Research Society |
| record_format | Article |
| series | Croatian Operational Research Review |
| spelling | doaj.art-17079cb24ced45648e0c3f3576ec898d2024-04-15T18:44:33ZengCroatian Operational Research SocietyCroatian Operational Research Review1848-02251848-99312023-01-01141152810.17535/crorr.2023.0002A novel modified Khatter’s approach for solving Neutrosophic Data Envelopment AnalysisKshitish Kumar Mohanta0Deena Sunil Sharanappa1Abha Aggarwal2Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, 484887, Madhya Pradesh, IndiaDepartment of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, 484887, Madhya Pradesh, IndiaSchool of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University Delhi, 110078, IndiaThe evaluation of the performance of decision-making units (DMUs) that use comparable inputs to produce related outputs can be accomplished through a non-parametric linear programming (LP) technique called Data Envelopment Analysis (DEA). However, the observed data are occasionally imprecise, ambiguous, inadequate, and inconsistent which may result in incorrect decision-making when these criteria are ignored. Neutrosophic Set (NS) is an extension of fuzzy sets which is used to represent unclear, erroneous, missing, and wrong information. This paper proposes a neutrosophic version of the DEA model, and a novel solution technique for Neutrosophic DEA (Neu-DEA) model. The possibility mean for triangular neutrosophic number (TNN) is redefined and modified the Khatter’s approach to convert directly the Neu-DEA model into its crisp DEA model. As a result, the Neu-DEA model is simplified to a crisp LP problem with a risk parameter (δ ∈ [0, 1]) that represents the attitude of the decision-maker towards taking risk. The efficiency score of the DMUs is computed by using various risk factors and divided into efficient and inefficient groups. The ranking of DMUs is determined by calculating the mean efficiency score of DMUs, which is based on various risk parameters. A numerical example is illustrated here to describe the suggested approach’s flexibility and authenticity and compared with some of the existing approaches.https://hrcak.srce.hr/file/440897Efficiency AnalysisTriangular Neutrosophic NumberNeutrosophic Data Envelopment AnalysisPossibility meanKhatter’s Approach |
| spellingShingle | Kshitish Kumar Mohanta Deena Sunil Sharanappa Abha Aggarwal A novel modified Khatter’s approach for solving Neutrosophic Data Envelopment Analysis Croatian Operational Research Review Efficiency Analysis Triangular Neutrosophic Number Neutrosophic Data Envelopment Analysis Possibility mean Khatter’s Approach |
| title | A novel modified Khatter’s approach for solving Neutrosophic Data Envelopment Analysis |
| title_full | A novel modified Khatter’s approach for solving Neutrosophic Data Envelopment Analysis |
| title_fullStr | A novel modified Khatter’s approach for solving Neutrosophic Data Envelopment Analysis |
| title_full_unstemmed | A novel modified Khatter’s approach for solving Neutrosophic Data Envelopment Analysis |
| title_short | A novel modified Khatter’s approach for solving Neutrosophic Data Envelopment Analysis |
| title_sort | novel modified khatter s approach for solving neutrosophic data envelopment analysis |
| topic | Efficiency Analysis Triangular Neutrosophic Number Neutrosophic Data Envelopment Analysis Possibility mean Khatter’s Approach |
| url | https://hrcak.srce.hr/file/440897 |
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