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Acquiring Knowledge from Decision Tables for Evidential Reasoning

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Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 68))

Abstract

This paper proposes a method to acquire rules for evidential reasoning from multiple decision tables. The knowledge acquisition consists of two steps: the first step derives uncertain rules of the form: if a(u) is x, then d(u) is in Y 1 with r 1 or . . . or d(u) is in Y M with r M , where r j (j = 1, . . . ,M) are beliefs represented by basic belief assignment. The second step derives rules of the form: if a(u) is in X, then d(u) is in Y 1 with r 1 or . . . or d(u) is in Y M with r M , from the rules obtained in the first step. A non-specificity based condition imposed on rules generated in the second step is introduced. It is also shown that the disjunctive combination approach satisfies the condition.

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References

  1. Klir, G.J., Yuan, B.: Fuzzy Sets and Fuzzy Logic. Prentice-Hall Inc., Englewood Cliffs (1995)

    MATH  Google Scholar 

  2. Liu, W., et al.: Representing heuristic knowledge and propagating beliefs in the Dempster-Shafer theory of evidence. In: Yager, R.R., et al. (eds.) Advances in the Dempster-Shafer Theory of Evidence, pp. 441–471. John Wiley & Sons, Inc., Chichester (1994)

    Google Scholar 

  3. Nishino, T., Nagamachi, M., Tanaka, H.: Variable precision Bayesian rough set model and its application to human evaluation data. In: Ślęzak, D., Wang, G., Szczuka, M.S., Düntsch, I., Yao, Y. (eds.) RSFDGrC 2005. LNCS (LNAI), vol. 3641, pp. 294–303. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  4. Shafer, G.A.: Mathematical Theory of Evidence. Princeton Univ. Press, Princeton (1976)

    MATH  Google Scholar 

  5. Skowron, A., Grzymala-Busse, J.: From rough set theory to evidence theory, in the same book as [2], pp. 193–236 (1994)

    Google Scholar 

  6. Slezak, D., Ziarko, W.: The investigation of the Bayesian rough set model. Int. J. of Approximate Reasoning 40, 81–91 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  7. Smets, P.: Belief functions: the disjunctive rule of combination and the generalized Bayesian theorem. Int. J. of Approximate Reasoning 9, 1–35 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  8. Pawlak, Z.: Rough sets. Int. J. of Computer and Information Sciences 11, 341–356 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  9. Ziarko, W.: Variable precision rough set model. Int. J. of Computer and System Sciences 46, 39–59 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  10. Yamada, K., Kimala, V., Unehara, M.: A new conditioning rule, its generalization and evidential reasoning. In: IFSA/EUSFLAT 2009, Lisbon, pp. 92–98 (2009)

    Google Scholar 

  11. Yamada, K., Kimala, V., Unehara, M.: Knowledge Acquisition from Decision Tables for Evidential Reasoning. In: Proc. 19th Soft Science Workshop, pp. 9–16 (2009) (in Japanese)

    Google Scholar 

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Yamada, K., Kimala, V. (2010). Acquiring Knowledge from Decision Tables for Evidential Reasoning. In: Huynh, VN., Nakamori, Y., Lawry, J., Inuiguchi, M. (eds) Integrated Uncertainty Management and Applications. Advances in Intelligent and Soft Computing, vol 68. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11960-6_38

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  • DOI: https://doi.org/10.1007/978-3-642-11960-6_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11959-0

  • Online ISBN: 978-3-642-11960-6

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