Neural network operators of fuzzy n-cell number valued functions and multidimensional fuzzy inference system

In this paper, we introduce a novel family of neural network operators of fuzzy n-cell number valued functions, activated by a collection of multivariate sigmoidal functions. We give some special examples of these activation functions with graphs and present some illustrative examples to demonstrate...

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Bibliographic Details
Published in:Knowledge-based systems 2022-12, Vol.258, p.110018, Article 110018
Main Author: Kadak, Ugur
Format: Article
Language:English
Subjects:
Fractional calculus
Fuzzy approximation
Fuzzy multidimensional inference system
Fuzzy n-cell number valued functions
Neural networks
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Summary:In this paper, we introduce a novel family of neural network operators of fuzzy n-cell number valued functions, activated by a collection of multivariate sigmoidal functions. We give some special examples of these activation functions with graphs and present some illustrative examples to demonstrate the approximation performance of these operators. Moreover, we propose a multidimensional fuzzy inference system including neural network operators of fuzzy n-cell number valued functions for the symptom-based diagnosis of Covid-19 disease. Finally, we give some approximation results using an Lp type metric of fuzzy n-cell numbers and examine the rate of convergence for the operators by means of fuzzy Lp modulus of continuity.
ISSN:0950-7051
1872-7409
DOI:10.1016/j.knosys.2022.110018