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Multiple Criteria Decision Analysis with Game-Theoretic Rough Sets

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Rough Sets and Knowledge Technology (RSKT 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7414))

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Abstract

Multiple criteria decision analysis plays an important role in many real life problems found in business, economics, management, governmental and political disputes. The game-theoretic rough set model (GTRS) is a recent extension to rough set theory for intelligent decision making observed with game-theoretic formulation. In this article, we extend GTRS for formulating and analyzing multiple criteria decision making problems in rough sets. Basic concepts of the model are defined, reviewed and analyzed in the context of multiple criteria. Applicability of GTRS is demonstrated by considering different examples, including multiple criteria effective classification, rule mining and feature selection.

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References

  1. Azam, N., Yao, J.T.: Classifying Attributes with Game-Theoretic Rough Sets. In: Watada, J., Watanabe, T., Phillips-Wren, G., Howlett, R.J., Jain, L.C. (eds.) Intelligent Decision Technologies. SIST, vol. 15, pp. 175–184. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  2. Azam, N., Yao, J.T.: Game-theoretic Rough Sets for Feature Selection. In: Skowron, A., Suraj, Z. (eds.) Rough Sets and Intelligent Systems - Professor Zdzisław Pawlak in Memoriam. ISRL, vol. 43, pp. 61–78. Springer, Heidelberg (2012)

    Google Scholar 

  3. Deng, X.F., Yao, Y.Y.: An Information-Theoretic Interpretation of Thresholds in Probabilistic Rough Sets. In: Li, T., Nguyen, H.S., Wang, G., Grzymala-Busse, J., Janicki, R., Hassanien, A.E., Yu, H. (eds.) RSKT 2012. LNCS (LNAI), vol. 7414, pp. 369–378. Springer, Heidelberg (2012)

    Google Scholar 

  4. Greco, S., Matarazzo, B., Slowinski, R.: Parameterized rough set model using rough membership and bayesian confirmation measures. International Journal of Approximate Reasoning 49(2), 285–300 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  5. Herbert, J.P., Yao, J.T.: Analysis of Data-Driven Parameters in Game-Theoretic Rough Sets. In: Yao, J., Ramanna, S., Wang, G., Suraj, Z. (eds.) RSKT 2011. LNCS, vol. 6954, pp. 447–456. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  6. Herbert, J.P., Yao, J.T.: Game-theoretic rough sets. Fundamenta Informaticae 108(3-4), 267–286 (2011)

    MathSciNet  MATH  Google Scholar 

  7. Jia, X.Y., Li, W.W., Shang, L., Chen, J.J.: An Optimization Viewpoint of Decision-Theoretic Rough Set Model. In: Yao, J., Ramanna, S., Wang, G., Suraj, Z. (eds.) RSKT 2011. LNCS, vol. 6954, pp. 457–465. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  8. Neumann, J.V., Morgenstern, O.: Theory of Games and Economic Behavior. Princeton University Press (1944)

    Google Scholar 

  9. Slezak, D., Ziarko, W.: The investigation of the bayesian rough set model. International Journal of Approximate Reasoning 40(1-2), 81–91 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  10. Yao, J.T., Yao, Y.Y., Ziarko, W.: Probabilistic rough sets: Approximations, decision-makings, and applications. International Journal of Approximate Reasoning 49(2), 253–254 (2008)

    Article  Google Scholar 

  11. Yao, Y.Y.: Probabilistic approaches to rough sets. Expert Systems 20(5), 287–297 (2003)

    Article  Google Scholar 

  12. Yao, Y.Y.: Decision-Theoretic Rough Set Models. In: Yao, J., Lingras, P., Wu, W.-Z., Szczuka, M.S., Cercone, N.J., Ślęzak, D. (eds.) RSKT 2007. LNCS (LNAI), vol. 4481, pp. 1–12. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  13. Yao, Y.Y.: Probabilistic rough set approximations. International Journal of Approximate Reasoning 49(2), 255–271 (2008)

    Article  MATH  Google Scholar 

  14. Yao, Y.Y.: The superiority of three-way decisions in probabilistic rough set models. Information Sciences 181(6), 1080–1096 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  15. Yao, Y.Y.: An Outline of a Theory of Three-Way Decisions. In: Yao, J.T., Yang, Y., Slowinski, R., Greco, S., Li, H., Mitra, S., Polkowski, L. (eds.) RSCTC 2012. LNCS (LNAI), vol. 7413, pp. 1–17. Springer, Heidelberg (2012)

    Google Scholar 

  16. Yao, Y.Y., Zhao, Y.: Attribute reduction in decision-theoretic rough set models. Information Sciences 178(17), 3356–3373 (2008)

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Computer Science, University of Regina, Regina, Saskatchewan, Canada, S4S 0A2

    Nouman Azam & JingTao Yao

Authors
  1. Nouman Azam
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  2. JingTao Yao
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Editor information

Editors and Affiliations

  1. School of Information Science and Technology, Southwest Jiaotong University, 610031, Chengdu, P.R. China

    Tianrui Li

  2. Institute of Mathematics, The University of Warsaw, ul. Banacha 2, 02-097, Warsaw, Poland

    Hung Son Nguyen

  3. Institute of Computer Science and Technology, Chongqing University of Posts and Telecommunications, 400065, Chongqing, China

    Guoyin Wang

  4. Department of Electrical Engineering and Computer Science, University of Kansas, 66045 - 7621, Lawrence, KS, USA

    Jerzy Grzymala-Busse

  5. Department of Computing and Software, McMaster University, L8S 4K1, Hamilton, Ontario, Canada

    Ryszard Janicki

  6. Faculty of Computers and Information, Cairo University, Cairo, Egypt

    Aboul Ella Hassanien

  7. Software School, Dalian University of Technology, Dalian, China

    Hong Yu

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© 2012 Springer-Verlag Berlin Heidelberg

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Azam, N., Yao, J. (2012). Multiple Criteria Decision Analysis with Game-Theoretic Rough Sets. In: Li, T., et al. Rough Sets and Knowledge Technology. RSKT 2012. Lecture Notes in Computer Science(), vol 7414. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31900-6_49

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  • DOI: https://doi.org/10.1007/978-3-642-31900-6_49

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31899-3

  • Online ISBN: 978-3-642-31900-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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