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Three-Way Decisions in Stochastic Decision-Theoretic Rough Sets

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Transactions on Rough Sets XVIII

Part of the book series: Lecture Notes in Computer Science ((TRS,volume 8449))

Abstract

In the previous decision-theoretic rough sets (DTRS), its loss function values are precise. This paper extends the precise values of loss functions to a more realistic stochastic environment. The stochastic loss functions are induced to decision-theoretic rough set theory based on the bayesian decision theory. A model of stochastic decision-theoretic rough set theory (SDTRS) is built with respect to the minimum bayesian expected risk. The corresponding propositions and criteria of SDTRS are also analyzed. Furthermore, we investigate two special SDTRS models under the uniform distribution and the normal distribution, respectively. Finally, an empirical study of Public-Private Partnerships (PPP) project investment validates the reasonability and effectiveness of the proposed models.

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Acknowledgements

This paper is an extended version of the paper published in the proceedings of RSKT2012. This work is partially supported by the National Science Foundation of China (Nos. 71201133, 61175047, 71090402, 71201076), the Youth Social Science Foundation of the Chinese Education Commission (No. 11YJC630127), the Research Fund for the Doctoral Program of Higher Education of China (No. 20120184120028), the China Postdoctoral Science Foundation (Nos. 2012M520310, 2013T60132) and the Fundamental Research Funds for the Central Universities of China (No. SWJTU12CX117).

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Authors and Affiliations

  1. School of Economics and Management, Southwest Jiaotong University, Chengdu, 610031, People’s Republic of China

    Dun Liu

  2. School of Information Science and Technology, Southwest Jiaotong University, Chengdu, 610031, People’s Republic of China

    Tianrui Li

  3. School of Management and Economics, University of Electronic Science and Technology of China, Chengdu, 610054, People’s Republic of China

    Decui Liang

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  1. Dun Liu
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  2. Tianrui Li
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  3. Decui Liang
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Correspondence to Dun Liu .

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Editors and Affiliations

  1. ECE Department Computational Intelligence Laboratory, University of Manitoba, Winnipeg, MB, Canada

    James F. Peters

  2. University of Warsaw, Warsaw, Poland

    Andrzej Skowron  & Hung Son Nguyen  & 

  3. Southwest Jiaotong University, Sichuan, China

    Tianrui Li  & Yan Yang  & 

  4. University of Regina, Regina, SK, Canada

    JingTao Yao

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Liu, D., Li, T., Liang, D. (2014). Three-Way Decisions in Stochastic Decision-Theoretic Rough Sets. In: Peters, J.F., Skowron, A., Li, T., Yang, Y., Yao, J., Nguyen, H.S. (eds) Transactions on Rough Sets XVIII. Lecture Notes in Computer Science(), vol 8449. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44680-5_7

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  • DOI: https://doi.org/10.1007/978-3-662-44680-5_7

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