Abstract
In this chapter we study the rate of convergence to the unit operator of very specific well described univariate Fuzzy neural network operators of Cardaliaguet–Euvrard and “Squashing” types. These Fuzzy operators arise in a very natural and common way among Fuzzy neural networks. The rates are given through Jackson type inequalities involving the Fuzzy modulus of continuity of the engaged Fuzzy valued function or its derivative in the Fuzzy sense. Also several interesting results in Fuzzy real analysis are presented to be used in the proofs of the main results. This chapter is based on [11].
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Anastassiou, G.A. (2010). DEGREE OF APPROXIMATION OF FUZZY NEURAL NETWORK OPERATORS, UNIVARIATE CASE. 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_15
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DOI: https://doi.org/10.1007/978-3-642-11220-1_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11219-5
Online ISBN: 978-3-642-11220-1
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