Reasoning by intervals

Authors:
Benedek Nagy
Affiliations:
University of Debrecen, Debrecen, Hungary
Venue:
Diagrams'06 Proceedings of the 4th international conference on Diagrammatic Representation and Inference
Year:
2006

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Cited 3

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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.