Abstract
We propose a generalization of the Hukuhara difference. First, the case of compact convex sets is examined; then, the results are applied to generalize the Hukuhara difference of fuzzy numbers, using their compact and convex level-cuts. Finally, a similar approach is seggested to attempt a generalization of division for real intervals and fuzzy numbers.
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© 2008 Springer-Verlag Berlin Heidelberg
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Stefanini, L. (2008). A Generalization of Hukuhara Difference. In: Dubois, D., Lubiano, M.A., Prade, H., Gil, M.Á., Grzegorzewski, P., Hryniewicz, O. (eds) Soft Methods for Handling Variability and Imprecision. Advances in Soft Computing, vol 48. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85027-4_25
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DOI: https://doi.org/10.1007/978-3-540-85027-4_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85026-7
Online ISBN: 978-3-540-85027-4
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