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Three-Way Decisions with DEA Approach

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Rough Sets (IJCRS 2017)

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Abstract

In this paper, we set up a data envelopment analysis (DEA) based three-way decision approach to solve the “multi-input and multi-output” problem when the decision attributes are “more than one” in rough sets. The estimation of production frontiers of DEA, is used to generate the three regions by three-way decisions: DEA efficiency region, weak DEA efficiency region and DEA inefficiency region, respectively. An empirical study of company efficiency evaluation is employed to validate the reasonability and effectiveness of the proposed method.

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References

  1. Azad, M., Moshkov, M., Zielosko, B.: Greedy algorithm for the construction of approximate decision rules for decision tables with many-valued decisions. Trans. Rough Sets 20, 24–50 (2016)

    Article  Google Scholar 

  2. Banker, R.D., Charnes, A., Cooper, W.W.: Some models for estimating technical and scale inefficiencies in data envelopment analysis. Manage. Sci. 30, 1078–1092 (1984)

    Article  MATH  Google Scholar 

  3. Chikalov, I., Zielosko, B.: Decision rules for decision tables with many-valued decisions. In: Yao, J.T., Ramanna, S., Wang, G., Suraj, Z. (eds.) RSKT 2011. LNCS, vol. 6954, pp. 763–768. Springer, Heidelberg (2011). doi:10.1007/978-3-642-24425-4_95

    Chapter  Google Scholar 

  4. Charnes, A., Cooper, W.W., Rhodes, E.L.: Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2, 429–444 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  5. Cooper, W.W., Seiford, L.M., Zhu, J.: Data envelopment analysis history, models, and interpretations. In: Cooper, W.W., Seiford, L.M., Zhu, J. (eds.) Handbook on Data Envelopment Analysis, International Series in Operations Research & Management Science, pp. 1–39. Springer, Heidelberg (2011)

    Google Scholar 

  6. Li, H.X., Zhou, X.Z.: Risk decision making based on decision-theoretic rough set: a three-way view decision model. Int. J. Comput. Intell. Syst. 4, 1–11 (2011)

    Article  Google Scholar 

  7. Liang, D.C., Liu, D., Kobina, A.: Three-way group decisions with decision-theoretic rough sets. Inf. Sci. 345, 46–64 (2016)

    Article  Google Scholar 

  8. Liu, D., Hu, P., Li, G.Q., Chen, L.: The DEA evaluation model of transportation manufacturing based on rough set theory. In: Proceeding of 8th International Conference of Chinese Logistics and Transportation Professionals, pp. 3029–3037 (2008)

    Google Scholar 

  9. Liu, D., Li, T.R., Ruan, D.: Probabilistic model criteria with decision-theoretic rough sets. Inf. Sci. 181, 3709–3722 (2011)

    Article  MathSciNet  Google Scholar 

  10. Liu, D., Liang, D.C., Wang, C.C.: A novel three-way decision model based on incomplete information system. Knowl.-Based Syst. 91, 16–31 (2016)

    Article  Google Scholar 

  11. Min, F., He, H.P., Qian, Y.H., Zhu, W.: Test-cost-sensitive attribute reduction. Inf. Sci. 181, 4928–4942 (2011)

    Article  Google Scholar 

  12. Meng, Z.Q., Shi, Z.Z.: Extended rough set-based attribute reduction in inconsistent incomplete decision systems. Inf. Sci. 204, 44–69 (2012)

    Article  MathSciNet  Google Scholar 

  13. Moshkov, M., Zielosko, B.: Construction of \(\alpha \)-decision trees for tables with many-valued decisions. In: Yao, J.T., Ramanna, S., Wang, G., Suraj, Z. (eds.) RSKT 2011. LNCS, vol. 6954, pp. 486–494. Springer, Heidelberg (2011). doi:10.1007/978-3-642-24425-4_63

    Chapter  Google Scholar 

  14. Ozcan, Y.A.: Health care benchmarking and performance evaluation: an assessment using data envelopment analysis. Int. Ser. Oper. Res. Manag. Sci. 120, 3–14 (2008)

    Article  MATH  Google Scholar 

  15. Pawlak, Z.: Rough sets and decision tables. Comput. Theory, 187–196 (1985)

    Google Scholar 

  16. Yao, Y.Y.: Three-way decisions with probabilistic rough sets. Inf. Sci. 180, 341–353 (2010)

    Article  MathSciNet  Google Scholar 

  17. Yao, Y.Y.: The superiority of three-way decision in probabilistic rough set models. Inf. Sci. 181, 1080–1096 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  18. Yao, Y.: An outline of a theory of three-way decisions. In: Yao, J.T., Yang, Y., Słowiński, R., Greco, S., Li, H., Mitra, S., Polkowski, L. (eds.) RSCTC 2012. LNCS, vol. 7413, pp. 1–17. Springer, Heidelberg (2012). doi:10.1007/978-3-642-32115-3_1

    Chapter  Google Scholar 

  19. Yao, Y.Y.: Three-way decisions and cognitive computing. Cogn. Comput. 8(4), 543–554 (2016)

    Article  Google Scholar 

  20. Yu, Y., Miao, D.Q., Zhao, C.R., et al.: Knowledge acquisition methods for multi-label decision system based on rough sets. J. Front. Comput. Sci. Technol. 9, 94–104 (2015)

    Google Scholar 

  21. Zhou, B.: Multi-class decision-theoretic rough sets. Int. J. Approx. Reas. 55, 211–224 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  22. Zhu, J.: Quantitative models for performance evaluation and benchmarking. Int. Ser. Oper. Res. Manag. Sci. 213, 11–20 (2014)

    Article  MathSciNet  Google Scholar 

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Acknowledgements

This work is partially supported by the National Science Foundation of China (Nos. 71571148, 71201133, 71401026), the Applied Basic Research Project of Science & Technology Department of Sichuan Province (2017JY0220), the Social Science Planning Project of Sichuan Province (Nos. SC16B097, SC15C009) and the Young Eagle Scholar Plan of SWJTU.

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Correspondence to Dun Liu .

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Liu, D., Liang, D. (2017). Three-Way Decisions with DEA Approach. In: Polkowski, L., et al. Rough Sets. IJCRS 2017. Lecture Notes in Computer Science(), vol 10314. Springer, Cham. https://doi.org/10.1007/978-3-319-60840-2_16

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  • DOI: https://doi.org/10.1007/978-3-319-60840-2_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60839-6

  • Online ISBN: 978-3-319-60840-2

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