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Reasoning under Vagueness Expressed by Nuanced Statements

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Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2003)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2711))

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Abstract

We study knowledge-based systems using symbolic many-valued logic and multiset theory. In previous papers we have proposed a symbolic representation of nuanced statements like “John is very tall”. In this representation, we have interpreted some nuances of natural language as linguistic modifiers and we have defined them within a multiset context. In this paper, we continue the presentation of our symbolic model and we propose new deduction rules dealing with nuanced statements. More precisely, we present new Generalized Modus Ponens rules and we study the form of graduality verified by these rules.

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References

  1. Baldwin, J.F.: A new approach to approximate reasoning using fuzzy logic. Fuzzy Sets and Systems 2, 309–325 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  2. Bouchon-Meunier, B., Yao, J.: Linguistic modifiers and imprecise categories. Int. J. of Intelligent Systems 7, 25–36 (1992)

    Article  MATH  Google Scholar 

  3. Delechamp, J., Bouchon-Meunier, B.: Graduality by means of analogical reasoning. In: Nonnengart, A., Kruse, R., Ohlbach, H.J., Gabbay, D.M. (eds.) FAPR 1997 and ECSQARU 1997. LNCS, vol. 1244, pp. 210–222. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  4. Dubois, D., Prade, H.: Fuzzy sets in approximate reasoning, part 1: Inference with possibility distributions. Fuzzy Sets and Systems 40, 143–202 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  5. El-Sayed, M., Pacholczyk, D.: A qualitative reasoning with nuanced information. In: Flesca, S., Greco, S., Leone, N., Ianni, G. (eds.) JELIA 2002. LNCS (LNAI), vol. 2424, pp. 283–295. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  6. El-Sayed, M., Pacholczyk, D.: A symbolic approach for handling nuanced information. In: IASTED International Conference on Artificial Intelligence and Applications (AIA 2002), Spain, pp. 285–290 (2002)

    Google Scholar 

  7. De glas, M.: Knoge representation in fuzzy setting. Technical Report 48, LAFORIA (1989)

    Google Scholar 

  8. Lascio, L.D., Gisolfi, A., Garcia, U.C.: Linguistic hedges and the generalized modus ponens. Int. Journal of Intelligent Systems 14, 981–993 (1999)

    Article  MATH  Google Scholar 

  9. Pacholczyk, D.: Contribution au traitement logico-symbolique de la connaissance. PhD thesis, University of Paris VI (1992)

    Google Scholar 

  10. Zadeh, L.A.: A theory of approximate reasoning. In: Hayes, J., Michie, D., Mikulich, L.I. (eds.) Machine Intelligence, vol. 9, pp. 149–194 (1979)

    Google Scholar 

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El-Sayed, M., Pacholczyk, D. (2003). Reasoning under Vagueness Expressed by Nuanced Statements. In: Nielsen, T.D., Zhang, N.L. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2003. Lecture Notes in Computer Science(), vol 2711. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45062-7_31

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  • DOI: https://doi.org/10.1007/978-3-540-45062-7_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40494-1

  • Online ISBN: 978-3-540-45062-7

  • eBook Packages: Springer Book Archive

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