Best Approximation Results for Fuzzy-Number-Valued Continuous Functions

Autor:	Juan J. Font, Sergio Macario
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	best approximation fuzzy-valued continuous function Michael selection theorem Mathematics QA1-939
Zdroj:	Axioms, Vol 12, Iss 2, p 192 (2023)
Druh dokumentu:	article
ISSN:	12020192 2075-1680
DOI:	10.3390/axioms12020192
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/f0ca91704a6a4d668f17e55c7a425855 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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