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Fuzzy approximation by fuzzy convolution type operators

โœ Scribed by G.A. Anastassiou

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
782 KB
Volume
48
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

Here we introduce and study four sequences of naturally arising fuzzy integral operators of convolution type that are integral analogs of known fuzzy wavelet type operators, defined via a scaling function. Their fuzzy convergence with rates to the fuzzy unit operator is established through fuzzy inequalities involving the fuzzy modulus of continuity. Also, their high-order fuzzy approximation is given similarly by involving the fuzzy modulus of continuity of the N th order (N > 1) H-fuzzy derivative of the engaged fuzzy number valued function. The fuzzy global smoothness preservation property of these operators is demonstrated also.

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