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Part of the book series: Advances in Soft Computing ((AINSC,volume 21))

Abstract

Choquet integral type DEA is a global evaluation model of cross efficiency scores which calculated by ∅ s transformation type fuzzy measure and Choquet integral model. As D-efficient DMU’s input and output weights are not determined uniquely, the DMU’s cross-efficiency scores are not determined uniquely. So, we propose the maximum model and the averaging model of the scores.

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References

  1. Tukamoto Y. (1982) A Measure Theoretic Approach to Evaluation of Fuzzy Set Defined on Probability Space, Journal of Fuzzy Math, Vol. 2, No. 3 89–98

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  2. Sexton T. F. et al. (1986) Data Envelopment Analysis: Critique and Extensions, in R.H. Silkman (ed.) Measuring Efficiency: An Assessment of Data Envelopment Analysis, 73–105.

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  3. Hibiki N. (1995) On Uniquely Identification Methods of DEA’s Adjusted Cross-efficiency Scores, Technical Report No. 95004, Department of Administration Engineering, Factory of Science and Technology, Keio University (Japanese).

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  4. Takahagi E. (2000) On Identification methods of A-fuzzy measure using weights and A, Journal of Japan Society for Fuzzy Theory and Systems, Vol. 12, No. 5 665–676 (Japanese).

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© 2003 Springer-Verlag Berlin Heidelberg

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Takahagi, E. (2003). Choquet Integral Type DEA. In: Multi-Objective Programming and Goal Programming. Advances in Soft Computing, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36510-5_35

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  • DOI: https://doi.org/10.1007/978-3-540-36510-5_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00653-4

  • Online ISBN: 978-3-540-36510-5

  • eBook Packages: Springer Book Archive

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