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.
Keywords
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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)
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)
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
Charnes, A., Cooper, W.W., Rhodes, E.L.: Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2, 429–444 (1978)
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)
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)
Liang, D.C., Liu, D., Kobina, A.: Three-way group decisions with decision-theoretic rough sets. Inf. Sci. 345, 46–64 (2016)
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)
Liu, D., Li, T.R., Ruan, D.: Probabilistic model criteria with decision-theoretic rough sets. Inf. Sci. 181, 3709–3722 (2011)
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)
Min, F., He, H.P., Qian, Y.H., Zhu, W.: Test-cost-sensitive attribute reduction. Inf. Sci. 181, 4928–4942 (2011)
Meng, Z.Q., Shi, Z.Z.: Extended rough set-based attribute reduction in inconsistent incomplete decision systems. Inf. Sci. 204, 44–69 (2012)
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
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)
Pawlak, Z.: Rough sets and decision tables. Comput. Theory, 187–196 (1985)
Yao, Y.Y.: Three-way decisions with probabilistic rough sets. Inf. Sci. 180, 341–353 (2010)
Yao, Y.Y.: The superiority of three-way decision in probabilistic rough set models. Inf. Sci. 181, 1080–1096 (2011)
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
Yao, Y.Y.: Three-way decisions and cognitive computing. Cogn. Comput. 8(4), 543–554 (2016)
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)
Zhou, B.: Multi-class decision-theoretic rough sets. Int. J. Approx. Reas. 55, 211–224 (2014)
Zhu, J.: Quantitative models for performance evaluation and benchmarking. Int. Ser. Oper. Res. Manag. Sci. 213, 11–20 (2014)
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.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-60840-2_16
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-60839-6
Online ISBN: 978-3-319-60840-2
eBook Packages: Computer ScienceComputer Science (R0)