Neutrosophic data envelopment analysis based on the possibilistic mean approach

• Autorzy: Mohanta Kshitish Kumar , Sharanappa Deena Sunil , Mishra Vishnu Narayan

Identyfikatory

DOI

10.37190/ord230205

• Języki publikacji: EN

Abstrakty

EN

Data envelopment analysis (DEA) is a non-parametric approach for the estimation of production frontier that is used to calculate the performance of a group of similar decision-making units (DMUs) which employ comparable inputs to produce related outputs. However, observed values might occasionally be confusing, imprecise, ambiguous, inadequate, and inconsistent in real-world applications. Thus, disregarding these factors may result in incorrect decision-making. Thus neutrosophic sets have been created as an extension of intuitionistic fuzzy sets to represent ambiguous, erroneous, missing, and inaccurate information in real-world applications. In this study, we have proposed a technique for solving the neutrosophic form of the Charnes–Cooper–Rhodes (CCR) model based on single-value trapezoidal neutrosophic numbers (SVTrNNs). The possibilistic mean for SVTrNNs is redefined and applied the Mehar approach to transforming the neutrosophic DEA (Neu-DEA) model into its corresponding crisp DEA model. As a result, the efficiency scores of the DMUs are calculated using different risk parameter values lying in [0, 1]. A numerical example is given to analyze the performance of the all India institutes of medical sciences and compared it with Abdelfattah’s ranking approach.

Słowa kluczowe

EN

efficiency analysis; single value; trapezoidal neutrosophic number; data envelopment analysis; possibilistic mean; Mehar approach

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2023
• Tom: Vol. 33, No. 2
• Strony: 81--98
• Opis fizyczny: Bibliogr. 53 poz., rys.

Twórcy

autor

Mohanta Kshitish Kumar

• Department of Mathematics, Indira Gandhi National Tribal University, Amarkantak, Anuppur, 484887, Madhya Pradesh, India

• https://orcid.org/0000-0003-2681-4785

autor

Sharanappa Deena Sunil

• Department of Mathematics, Indira Gandhi National Tribal University, Amarkantak, Anuppur, 484887, Madhya Pradesh, India

• https://orcid.org/0000-0003-3210-9150

autor

Mishra Vishnu Narayan

• Department of Mathematics, Indira Gandhi National Tribal University, Amarkantak, Anuppur, 484887, Madhya Pradesh, India

• https://orcid.org/0000-0002-2159-7710

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).