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Reasoning by Intervals

  • Conference paper
Diagrammatic Representation and Inference (Diagrams 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4045))

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Abstract

In this paper we present a way of reasoning by interval-values over [0,1]. Logical inference is visualized by interval-values. Boolean operators are extended to these values in a natural way. Some other useful operators are also defined. The way of reasoning by Euler/Venn diagrams works by interval-values as well. Moreover based on the length of the intervals probabilistic and fuzzy reasoning is possible.

The research is supported by grants OTKA F043090 and T049409.

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References

  1. Edwards, A.W.F.: Cogwheels of the Mind: The Story of Venn Diagrams. Johns Hopkins University Press, Baltimore (2004)

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  2. Hájek, P.: Metamathematics of Fuzzy Logic. Kluwer, Dordrecht (1998)

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  3. Nagy, B.: A general fuzzy logic using intervals. In: Proc. 6th Int. Symp. of Hungarian Researchers on Comput. Intell., Budapest, Hungary, pp. 613–624 (2005)

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Author information

Authors and Affiliations

  1. University of Debrecen, Debrecen, Hungary

    Benedek Nagy

  2. Rovira i Virgili University, Tarragona, Spain

    Benedek Nagy

Authors
  1. Benedek Nagy
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Editors and Affiliations

  1. Stanford University,, 94305-4101, Stanford, CA, USA

    Dave Barker-Plummer

  2. Representation and Cognition Group, University of Sussex, Brighton, UK

    Richard Cox

  3. Universidad Politécnica de Madrid, Boadilla del Monte, 28660, Madrid, Spain

    Nik Swoboda

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© 2006 Springer-Verlag Berlin Heidelberg

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Nagy, B. (2006). Reasoning by Intervals. In: Barker-Plummer, D., Cox, R., Swoboda, N. (eds) Diagrammatic Representation and Inference. Diagrams 2006. Lecture Notes in Computer Science(), vol 4045. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11783183_18

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  • DOI: https://doi.org/10.1007/11783183_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35623-3

  • Online ISBN: 978-3-540-35624-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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