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A Belief Structure for Reasoning about Knowledge

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Rough Set and Knowledge Technology (RSKT 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6401))

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Abstract

A logic-based belief structure is proposed for knowledge representation and reasoning. This structure is semantically different from the standard Kripke structure. It is demonstrated that such a representation of knowledge is particularly useful in a multi-agent environment.

The proposed model is also suitable for dealing with inconsistent and incomplete information and provides a natural measure of uncertainty for the knowledge modal operators.

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References

  1. Fagin, R., Halpern, J., Moses, Y., Vardi, M.: Reasoning About Knowledge. MIT Press, Cambridge (1996)

    Google Scholar 

  2. Halpern, J.Y.: An analysis of First-order logics of probability. Artificial Intelligence (46), 311–350 (1990)

    Google Scholar 

  3. Pawlak, Z.: Rough sets. International Journal of Computer and Information Sciences (1982)

    Google Scholar 

  4. Orlowska, E.: Logic for reasoning about knowledge. Mathematical Logic Quarterly (1989)

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

    Google Scholar 

  6. Shafer, G.: A mathematical Theory of Evidence. Princeton University Press, Princeton (1979)

    Google Scholar 

  7. Kripke, S.: A semantical analysis of modal logic I: Normal modal propositional calculi. Zeitschriftfür Mathematische Logik und Grundlagen der Mathematik (1963)

    Google Scholar 

  8. Aumann, R.: Agreeing to disagree. Annals of Statistics (1976)

    Google Scholar 

  9. Dempster, A.: Construction and local computational aspects of network belief functions. Technical Report S-125, Department of Statistics. Harvard University, Cambridge, MA (1988)

    Google Scholar 

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© 2010 Springer-Verlag Berlin Heidelberg

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Wong, S.K.M., Noroozi, N. (2010). A Belief Structure for Reasoning about Knowledge. In: Yu, J., Greco, S., Lingras, P., Wang, G., Skowron, A. (eds) Rough Set and Knowledge Technology. RSKT 2010. Lecture Notes in Computer Science(), vol 6401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16248-0_43

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  • DOI: https://doi.org/10.1007/978-3-642-16248-0_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16247-3

  • Online ISBN: 978-3-642-16248-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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