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