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Statistical fuzzy approximation by fuzzy positive linear operators

✍ Scribed by George A. Anastassiou; Oktay Duman

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
208 KB
Volume
55
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we prove a Korovkin-type approximation theorem for fuzzy positive linear operators by using the notion of Astatistical convergence, where A is a non-negative regular summability matrix. This type of approximation enables us to obtain more powerful results than in the classical aspects of approximation theory settings. An application of this result is also given. Furthermore, we compute the rates of this statistical fuzzy convergence of the operators via the fuzzy modulus of continuity.

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