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Data envelopment analysis with non-L-R type fuzzy data

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Abstract

This work considers efficiency measures in data envelopment analysis with non-L-R type fuzzy data. It shows that the relative efficiencies of decision-making units with non-L-R type fuzzy inputs and outputs can be measured by solving an optimization problem on a mixed domain. The necessary and sufficient conditions for solving the resulting optimization problems are then investigated. This is the first attempt to measure fuzzy efficiency in data envelopment analysis in view of optimization problems on a mixed domain.

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Acknowledgments

The author would like to thank referees for their very constructive comments in revising this paper.

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Authors and Affiliations

  1. Department of Applied Mathematics, National Chiayi University, Chiayi, Taiwan

    Cheng-Feng Hu

  2. Department of Mechanical and Automation Engineering, I-Shou University, Kaohsiung, Taiwan

    Fung-Bao Liu

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  1. Cheng-Feng Hu
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  2. Fung-Bao Liu
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Correspondence to Cheng-Feng Hu.

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The authors declare that there is no conflict of interest related to this work.

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Communicated by V. Loia.

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Hu, CF., Liu, FB. Data envelopment analysis with non-L-R type fuzzy data. Soft Comput 21, 5851–5857 (2017). https://doi.org/10.1007/s00500-016-2167-1

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  • DOI: https://doi.org/10.1007/s00500-016-2167-1

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