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795. Complete Ranking and Benchmarking Methods for Improved Efficiency Assessment in Neutrosophic Environments

Invited abstract in session WC-48: DEA methodological developments I, stream Data Envelopment Analysis and its Application.

Wednesday, 12:30-14:00
Room: 60 (building: 324)

Authors (first author is the speaker)

1. Deena Sunil
Mathematics, Indira Gandhi National Tribal University, Amarkantak
2. Kshitish Kumar Mohanta
Mathematics, Indira Gandhi National Tribal University, Amarkantak
3. Vishal Chaubey
Department of Mathematics, Indira Ghandhi National Tribal University
4. Poornima Hulipalled
MCA, Kishkinda University, Ballari

Abstract

The measurement of the relative efficiency of the Decision-Making Units (DMUs) in a fuzzy environment is conducted through the employment of the fuzzy data envelopment analysis (FDEA). In FDEA, one of the primary concerns is to identify the benchmarking for inefficient DMUs, in order to enhance the efficiency of these particular units. Additionally, the complete ranking of the DMUs is also an important aspect to consider within the realm of FDEA. To address these issues, this article proposes the utilization of a reference set and complete ranking technique for the DMUs in a neutrosophic environment, which is an extension of the fuzzy environment that effectively represents uncertainty. In order to evaluate the relative efficiency of the DMUs, the Neutrosophic DEA model is solved using the possibility mean approach. Furthermore, a reference set based on the possibility mean function is suggested to identify peers for the inefficient DMUs. Moreover, the Neutrosophic super efficiency model, is employed to assess the relative super efficiency score of the DMUs. This super efficiency score is then utilized to achieve a complete ranking of the DMUs. To demonstrate the effectiveness and applicability of the proposed approach, a numerical example is considered.

Keywords

Status: accepted

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