Abstract
This part aims at extending the proposed interval operators detailed in the Part I to fuzzy and gradual intervals. Recently, gradual numbers have been introduced as a means of extending standard interval computation methods to fuzzy and gradual intervals. In this paper, we combine the concepts of gradual numbers and the Midpoint-Radius (MR) representation to extend the interval proposed operators to fuzzy and gradual intervals. The effectiveness of the proposed operators is illustrated by examples.
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Boukezzoula, R., Galichet, S. (2010). Optimistic Arithmetic Operators for Fuzzy and Gradual Intervals - Part II: Fuzzy and Gradual Interval Approach. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. Applications. IPMU 2010. Communications in Computer and Information Science, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14058-7_47
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DOI: https://doi.org/10.1007/978-3-642-14058-7_47
Publisher Name: Springer, Berlin, Heidelberg
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