A Neutrosophic-Based Approach in Data Envelopment Analysis with Undesirable Outputs

Mao, Xinna; Guo, Zhao; Fallah, Mohammad; Edalatpanah, S. A.

doi:10.1155/2020/7626102

Cited by 28 publications

(15 citation statements)

References 59 publications

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“…e first model of DEA with NS was established by Edalatpanah [87], and additional investigations have been accessible in [88][89][90][91][92][93][94][95]. However, these models are formulated solely for NSs.…”

Section: Introductionmentioning

confidence: 99%

A Hybrid BSC-DEA Model with Indeterminate Information

Hafshjani

Najafi

Lotfı

et al. 2021

Journal of Mathematics

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Strategy is the main source of long-term growth for organizations, and if it is not successfully implemented, even if appropriate ones are adopted, the process is futile. The balanced scorecard which focuses on four aspects such as growth and learning, internal processes, customer, and financial is considered as a comprehensive framework for assessing performance and the progress of the strategy. Moreover, the data envelopment analysis is one of the best mathematical methods to compute the efficiency of organizations. The combination of these two techniques is a significant quantitative measurement with respect to the organization’s performance. However, in the real world, determinate and indeterminate information exists. Henceforth, the indeterminate issues are inescapable and must be considered in the performance evaluation. Neutrosophic number is a helpful tool for dealing with information that is indeterminate and incomplete. In this paper, we propose a new model of data envelopment analysis in the neutrosophic number environment. Furthermore, we attempt to combine the new model with the balanced scorecard to rank different decision-making units. Finally, the proposed method is illustrated by an empirical study involving 20 banking branches. The results show the effectiveness of the proposed method and indicate that the model has practical outcomes for decision-makers.

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Section: Introductionmentioning

confidence: 99%

A Hybrid BSC-DEA Model with Indeterminate Information

Hafshjani

Najafi

Lotfı

et al. 2021

Journal of Mathematics

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“…After that, some types of NSs have been proposed (Lupiáñez, 2009;Wang et al, 2010;Ye, 2014;Ulucay et al, 2018;Liu and Cheng, 2020;Edalatpanah, 2020;Luo al., 2022). Furthermore, in neutrosophical literature, several applications such as facility location and routing (Deveci et al, 2021), SSP (Pamucar et al, 2020), social failure detection (Torkayesh et al, 2022), linear programming (Edalatpanah, 2019;Das et al, 2021) and , time series models (Pattanayak et al, 2022), DEA ( Mao et al, 2020), SPP (Kumar et al, 2019), MCDM (Deli et al, 2021), etc. have been addressed.…”

Section: Neutrosophic Logicmentioning

confidence: 99%

A neutrosophical model for optimal sustainable closed-loop supply chain network with considering inflation and carbon emission policies

Kalantari

Kazemipoor

Sobhani

et al. 2022

Decis. Mak. Appl. Manag. Eng.

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In this paper, a stable CLSC problem is modeled in conditions of uncertainty and indeterminacy. The SCN is designed to maximize NPV and minimize carbon releases by maintaining environment friendly policies and accounting for increase. To achieve a suitable model for designing a stable CLSCN and making important decisions such as selecting the right suppliers, selecting the type of transport, initial the facility, the optimal flow between facilities and accomplishing an efficient solution to the problem decision making, the neutrosophic optimization method is used. The results of experiments that discuss and evaluate different scenarios confirm the efficiency and validity of the proposed model. The findings also show that the effective improvement of the obtained solutions by reducing the solution time up to twenty percent can be responsible for large-scale problems in different scenarios. This paper uses a neutrosophic optimization method to solve the problem of designing a stable CLSCN under uncertainty and indeterminacy.

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“…Following that, several approaches to solving DEA models utilising neutrosophic fuzzy sets are utilised [14,15]. Mao et al [31] in 2020 used single-valued neutrosophic sets (SVNSs) in DEA with undesirable output. Yang et al [40] in 2020 used triangular single valued neutrosophic number for measuring the hospital efficiency base on data envelopment analysis.…”

Section: Introductionmentioning

confidence: 99%

Data Envelopment Analysis on the Context of Spherical Fuzzy Inputs and Outputs

Mohanta¹,

Sharanappa²,

Dabke³

et al. 2022

Eur. J. Pure Appl. Math.

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In this study, Data Envelopment Analysis (DEA) models are improved by employing spherical fuzzy sets (SFSs), which is an extension of generalized fuzzy sets. SFSs were recently introduced as a novel type of fuzzy set that allows decision-makers to express their level of uncertainty directly. As a result, SFSs provide a more preferred domain for decision-makers. Fundamental Charnes-Cooper-Rhodes (CCR) model is discussed on the context of spherical trapezoidal fuzzy numbers (STrFNs), which consider each data value’s truth, indeterminacy, and falsehood degrees, and a unique solution technique is implemented. This method converts a spherical fuzzy DEA(SF-DEA) model into three pair of crisp DEA model, which may then be solved using one of many existing approaches. The largest optimal interval is determined for each DMU such that the efficiency score lies inside that interval. Furthermore, an example demonstrates this novel method and clearly explains the DMUs’ ranking technique.

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A Neutrosophic-Based Approach in Data Envelopment Analysis with Undesirable Outputs

Cited by 28 publications

References 59 publications

A Hybrid BSC-DEA Model with Indeterminate Information

A Hybrid BSC-DEA Model with Indeterminate Information

A neutrosophical model for optimal sustainable closed-loop supply chain network with considering inflation and carbon emission policies

Data Envelopment Analysis on the Context of Spherical Fuzzy Inputs and Outputs

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