Data envelopment analysis with neutrosophic inputs and outputs

Abdelfattah, Walid

doi:10.1111/exsy.12453

Cited by 17 publications

(23 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here, we select an example of [63] to illustrate the results obtained in previous sections. Consider five DMUs as Table 1 that consume two inputs to produce two outputs.…”

Section: Numerical Testmentioning

confidence: 99%

Data envelopment analysis based on triangular neutrosophic numbers

Edalatpanah

2020

CAAI trans. intell. technol.

View full text Add to dashboard Cite

Data envelopment analysis (DEA) is one of the best mathematical techniques to compute the overall performance of units with some inputs and outputs. The original DEA methods are developed to tackle the information based on the crisp number but no ability to handle the indeterminacy, impreciseness, vagueness, inconsistent, and incompleteness information such as triangular neutrosophic numbers (TNNs). This study attempts to establish a new model of DEA, where the information on decision-making units is TNNs. Initially, the concept and features of a conventional DEA model and the comparative TNNs are discussed. Besides, some new ranking functions of TNNs are presented. Furthermore, based on the mentioned ranking functions, an algorithm for solving the new model has been established. A comparison of the new model with an existing method and other kinds of uncertainty tools has been provided. In comparison with the existing methods, the significant characteristic of the new model is that it can handle the triangular neutrosophic information simply and effectively. Finally, the implementation of this strategy for an example has been applied for various models of DEA.

show abstract

“…Here, we select an example of [63] to illustrate the results obtained in previous sections. Consider five DMUs as Table 1 that consume two inputs to produce two outputs.…”

Section: Numerical Testmentioning

confidence: 99%

Data envelopment analysis based on triangular neutrosophic numbers

Edalatpanah

2020

CAAI trans. intell. technol.

View full text Add to dashboard Cite

show abstract

“…In the DEA literature, there are some models of DEA with neutrosophic information, see [61][62][63][64][65][66][67]…”

Section: Proposed Modelmentioning

confidence: 99%

“…As far as we know, there are few studies concerning DEA with neutrosophic information. e utilization of neutrosophic set in DEA can be traced to Edalatpanah [61] and additional investigations have been accessible in [62][63][64][65][66][67]. However, these neutrosophic DEA methods are formulated solely for desirable outputs and cannot eliminate the influence of undesirable factors on the efficiency evaluation.…”

Section: Introductionmentioning

confidence: 99%

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

Mao

Guo

Fallah

et al. 2020

Mathematical Problems in Engineering

View full text Add to dashboard Cite

Data Envelopment Analysis is one of the paramount mathematical methods to compute the general performance of organizations, which utilizes similar sources to produce similar outputs. Original DEA schemes involve crisp information of inputs and outputs that may not always be accessible in real-world applications. Nevertheless, in some cases, the values of the data are information with indeterminacy, impreciseness, vagueness, inconsistent, and incompleteness. Furthermore, the conventional DEA models have been originally formulated solely for desirable outputs. However, undesirable outputs may additionally be present in the manufacturing system, which wishes to be minimized. To tackle the mentioned issues and in order to obtain a reliable measurement that keeps original advantage of DEA and considers the influence of undesirable factors under the indeterminate environments, this paper presents a neutrosophic DEA model with undesirable outputs. The recommended technique is based on the aggregation operator and has a simple construction. Finally, an example is given to illustrate the new model and ranking approach in details.

show abstract

“…Edalatpanah and Smarandache [47], based on some operators and natural logarithms, proposed an input-oriented DEA model with simplified neutrosophic numbers. Abdelfattah [48], by converting a neutrosophic DEA into an interval DEA, developed a new DEA model under neutrosophic numbers. Although these approaches are interesting, some restrictions exist.…”

Section: Introductionmentioning

confidence: 99%

“…One of them is that these methods have high running times, mainly when we have many inputs and outputs. Furthermore, the main flaw of [48] is the existence of several production frontiers in the steps of efficiency measure, and this leads to the lack of comparability between efficiencies.…”

Section: Introductionmentioning

confidence: 99%

Triangular Single Valued Neutrosophic Data Envelopment Analysis: Application to Hospital Performance Measurement

et al. 2020

View full text Add to dashboard Cite

The foremost broadly utilized strategy for the valuation of the overall performance of a set of identical decision-making units (DMUs) that use analogous sources to yield related outputs is data envelopment analysis (DEA). However, the witnessed values of the symmetry or asymmetry of different types of information in real-world applications are sometimes inaccurate, ambiguous, inadequate, and inconsistent, so overlooking these conditions may lead to erroneous decision-making. Neutrosophic set theory can handle these occasions of data and makes an imitation of the decision-making procedure with the aid of thinking about all perspectives of the decision. In this paper, we introduce a model of DEA in the context of neutrosophic sets and sketch an innovative process to solve it. Furthermore, we deal with the problem of healthcare system evaluation with inconsistent, indeterminate, and incomplete information using the new model. The triangular single-valued neutrosophic numbers are also employed to deal with the mentioned data, and the proposed method is utilized in the assessment of 13 hospitals of Tehran University of Medical Sciences of Iran. The results exhibit the usefulness of the suggested approach and point out that the model has practical outcomes for decision-makers.

show abstract

Data envelopment analysis with neutrosophic inputs and outputs

Cited by 17 publications

References 36 publications

Data envelopment analysis based on triangular neutrosophic numbers

Data envelopment analysis based on triangular neutrosophic numbers

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

Triangular Single Valued Neutrosophic Data Envelopment Analysis: Application to Hospital Performance Measurement

Contact Info

Product

Resources

About