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A deduction rule for the approximated knowledge of a mapping

  • Knowledge Based Systems
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IPMU '92—Advanced Methods in Artificial Intelligence (IPMU 1992)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 682))

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Abstract

The partial knowledge of a valuation, whose values are in the boolean algebra {0,1} may be represented by the utilization of a set of four elements([1]). The partial or approximated knowledge of a valuation or a possibility or necessity measure, whose values are in the real interval [0 1] may be represented by the set of “subintervals” and it is possible to define operations that also generalize the structures of algebra defined by Belnap. In this paper we propose the formulation of the “deduction rule” that allows us to deduce valid approximations from the available data.

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References

  1. Belnap,Jr,N.D.: A useful four-valued logic. Modern uses of Multiple-Valued logic(1977),pp 8–40.Boston

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  2. Driankov D.: Towards a Many-valued logic of quantified belief: he information lattice. IJIS vol 6 pp135–166 (1991)

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  3. Casasnovas J.: Contribucin a una formalizacin de la inferencia directa (Thesis D.PH.)(1989).U.I.B.Palma de Mallorca

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Bernadette Bouchon-Meunier Llorenç Valverde Ronald R. Yager

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© 1993 Springer-Verlag

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Casasnovas, J. (1993). A deduction rule for the approximated knowledge of a mapping. In: Bouchon-Meunier, B., Valverde, L., Yager, R.R. (eds) IPMU '92—Advanced Methods in Artificial Intelligence. IPMU 1992. Lecture Notes in Computer Science, vol 682. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56735-6_69

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  • DOI: https://doi.org/10.1007/3-540-56735-6_69

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56735-6

  • Online ISBN: 978-3-540-47643-6

  • eBook Packages: Springer Book Archive

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