A Novel Multiobjective Game IDEA Cross-Efficiency Method Based on Boolean Possibility Degree for Ranking Biomass Materials With Interval Data

Wichapa, Narong; Sodsoon, Suphan

doi:10.1109/access.2022.3205728

Cited by 4 publications

(1 citation statement)

References 51 publications

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“…The optimal game cross-efficiency scores are determined by the iterative nature of the game cross-efficiency model, and various initial scores result in identical cross-efficiency outcomes, representing a Nash equilibrium. This method has gained widespread acceptance and application across various domains, including supplier selection [23], [24], urban public infrastructure investment [25], [26], ecological efficiency surveys [27], [28], energy efficiency [29], [30], forest carbon sequestration [31]- [38]. However, it's important to note that the game cross-efficiency technique may not be suitable for ranking all DMUs in certain DEA ranking problems, as indicated by the literature review.…”

Section: Introductionmentioning

confidence: 99%

An optimistic-pessimistic game cross-efficiency method based on a Gibbs entropy model for ranking decision making units

Thongmual,

Laoha,

Wichapa

2024

Bulletin EEI

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The game cross-efficiency method, a commonly utilized approach for ranking decision-making units in tie-breaking scenarios, is based on secondary goals. However, in certain data envelopment analysis ranking problems, the classical game cross-efficiency method may fail to differentiate all decision-making units effectively. To address this limitation, it is prudent to explore the development of a new method that can enhance the ranking performance of the classical game cross-efficiency approach. In this study, we propose a novel Gibbs entropy linear programming model that integrates both optimistic and pessimistic perspectives of the classical game cross-efficiency method for data envelopment analysis ranking problems. To validate the reliability and utility of our proposed method, we present three examples: the six nursing homes problem, numerical example 2, and an application involving twenty Thai provinces with cash crop data. The reliability of the proposed method is assessed using Spearman’s correlation coefficient (rs) on the numerical examples. The results demonstrate that the rs values for both the proposed method and the classical game crossefficiency method, specifically for the six nursing homes problem, numerical example 2, and the application involving twenty Thai provinces, are determined to be rs=0.998, 0.998, and 0.986 respectively.

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Section: Introductionmentioning

confidence: 99%

An optimistic-pessimistic game cross-efficiency method based on a Gibbs entropy model for ranking decision making units

Thongmual,

Laoha,

Wichapa

2024

Bulletin EEI

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A combined DEAV-BWM approach for effective evaluation and ranking of biomass materials in charcoal briquette production

Wichapa,

Nasawat,

Kanchanaruangrong

et al. 2024

MethodsX

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Cross-efficiency aggregation based on interval conditional entropy: An application to forest carbon sink efficiency

Chen,

You,

et al. 2024

IFS

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Cross-efficiency evaluation is an extension of data envelopment analysis (DEA), which can effectively distinguish between decision-making units (DMUs) through self- and peer-evaluation. The cross-efficiency of each DMU in a set of DMUs is measured in terms of intervals when the input–output data are represented by the number of intervals. Based on the interval cross-efficiency matrix, the interval entropy is defined in terms of the likelihood. Then, considering the influence of peer evaluation, the interval conditional cross-efficiency entropy is proposed and an aggregation model of the interval conditional cross-efficiency entropy is presented to create a ranking index for DMUs. Finally, a simple example is provided to illustrate the effectiveness of the proposed method, which is applied to the evaluation of forest carbon sink efficiency in China. The results indicate that the final cross-efficiencies of all 30 provinces range from 0 to 0.6. Among these provinces, those with a relatively high efficiency include Guangdong, Guizhou, Hainan, Shandong, and Qinghai.

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A Novel Multiobjective Game IDEA Cross-Efficiency Method Based on Boolean Possibility Degree for Ranking Biomass Materials With Interval Data

Abstract: Date of publication xxxx 00, 0000, date of current version xxxx 00, 0000.

Cited by 4 publications

References 51 publications

An optimistic-pessimistic game cross-efficiency method based on a Gibbs entropy model for ranking decision making units

An optimistic-pessimistic game cross-efficiency method based on a Gibbs entropy model for ranking decision making units

A combined DEAV-BWM approach for effective evaluation and ranking of biomass materials in charcoal briquette production

Cross-efficiency aggregation based on interval conditional entropy: An application to forest carbon sink efficiency

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