STATISTICAL FUZZY APPROXIMATION TO FUZZY DIFFERENTIABLE FUNCTIONS BY FUZZY LINEAR OPERATORS

Authors : Oktay DUMAN

Pages : 497-514

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Publication Date : 2010-04-01

Article Type : Research Paper

Abstract :In this paper, we obtain fuzzy approximations to fuzzy differentiable functions by means of fuzzy linear operators whose positivity condition and classical limits fail. In order to get more powerful results than the classical approach we investigate the effects of matrix summability methods on the fuzzy approximation. So, we mainly use the notion of A-statistical convergence from summability theory instead of the usual convergence.
Keywords : Korovkin theorem, Statistical convergence, Fuzzy approximation, Fuzzy continuity, Fuzzy differentiable function