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A Common Framework for Rough Sets, Databases, and Bayesian Networks

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2639))

Abstract

It has been pointed out that there exists an intriguing relationship between propositional modal logic and rough sets [8, 2]. In this paper, we use first order modal logic (FOML) to formulate a common framework for rough sets, databases, and Bayesian networks. The relational view of the semantics of first order modal logic provides a unified interpretation of many related concepts.

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References

  1. R. Fagin, J. Halpern, Y. Moses, and Vardi M. Reasoning About Knowledge. MIT Press, Cambridge, Massachusetts, 1996.

    Google Scholar 

  2. E. Orlowska. Logical aspects of learning concepts. International Journal of Approximate Reasoning, 2:349–364, 1988.

    Article  MATH  Google Scholar 

  3. J. Pearl. Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann Publishers, San Francisco, California, 1988.

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  4. S.K.M. Wong. A logical approach for modeling uncertainty. In 6th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems, volume 1, pages 129–135, 1996.

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  5. S.K.M. Wong. An extended relational data model for probabilistic reasoning. Journal of Intelligent Information Systems, 9:181–202, 1997.

    Article  Google Scholar 

  6. S.K.M. Wong, C.J. Butz, and Y. Xiang. A method for implementing a probabilistic model as a relational database. In Eleventh Conference on Uncertainty in Artificial Intelligence, pages 556–564. Morgan Kaufmann Publishers, 1995.

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  7. S.K.M. Wong, Y. Xiang, and Xiaopin Nie. Representation of bayesian networks as relational databases. In Fifth International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems, pages 159–165, 1994.

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  8. Y.Y. Yao and T.Y. Lin. Generalization of rough sets using modal logic. Intelligent and Automation and Soft Computing, an International Journal, 2(2):103–120, 1996.

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© 2003 Springer-Verlag Berlin Heidelberg

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Wong, S.K.M., Wu, D. (2003). A Common Framework for Rough Sets, Databases, and Bayesian Networks. In: Wang, G., Liu, Q., Yao, Y., Skowron, A. (eds) Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing. RSFDGrC 2003. Lecture Notes in Computer Science(), vol 2639. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-39205-X_12

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  • DOI: https://doi.org/10.1007/3-540-39205-X_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-14040-5

  • Online ISBN: 978-3-540-39205-7

  • eBook Packages: Springer Book Archive

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