Abstract
Here we present the property of global smoothness preservation for fuzzy linear operators acting on spaces of fuzzy continuous functions. Basically we transfer the property of real global smoothness preservation into the fuzzy setting, via some natural realization condition fulfilled by almost all example-fuzzy linear operators. The derived inequalities involve fuzzy moduli of continuity and we give examples. This chapter relies on [21].
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© 2010 Springer-Verlag Berlin Heidelberg
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Anastassiou, G.A. (2010). FUZZY GLOBAL SMOOTHNESS PRESERVATION. In: Fuzzy Mathematics: Approximation Theory. Studies in Fuzziness and Soft Computing, vol 251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11220-1_9
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DOI: https://doi.org/10.1007/978-3-642-11220-1_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11219-5
Online ISBN: 978-3-642-11220-1
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