Best Approximation Results for Fuzzy-Number-Valued Continuous Functions
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Título
Best Approximation Results for Fuzzy-Number-Valued Continuous FunctionsFecha de publicación
2023-02Editor
MDPIISSN
2075-1680Cita bibliográfica
Font, J.J.; Macario, S. Best Approximation Results for Fuzzy-Number-Valued Continuous Functions. Axioms 2023, 12, 192. https://doi.org/10.3390/axioms12020192Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.mdpi.com/2075-1680/12/2/192Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
In this paper, we study the best approximation of a fixed fuzzy-number-valued continuous function to a subset of fuzzy-number-valued continuous functions. We also introduce a method to measure the distance between a ... [+]
In this paper, we study the best approximation of a fixed fuzzy-number-valued continuous function to a subset of fuzzy-number-valued continuous functions. We also introduce a method to measure the distance between a fuzzy-number-valued continuous function and a real-valued one. Then, we prove the existence of the best approximation of a fuzzy-number-valued continuous function to the space of real-valued continuous functions by using the well-known Michael selection theorem. [-]
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Axioms, 2023, vol. 12, no 2Derechos de acceso
info:eu-repo/semantics/openAccess
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