Endograph Metric and a Version of the Arzelà–Ascoli Theorem for Fuzzy Sets
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Título
Endograph Metric and a Version of the Arzelà–Ascoli Theorem for Fuzzy SetsFecha de publicación
2023Editor
MDPICita bibliográfica
Font, J.J.; Macario, S.; Sanchis, M. Endograph Metric and a Version of the Arzelà–Ascoli Theorem for Fuzzy Sets. Mathematics 2023, 11, 260. https://doi.org/ 10.3390/math11020260Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.mdpi.com/2227-7390/11/2/260Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
In this paper, we provide several Arzelà–Ascoli-type results on the space of all continuous functions from a Tychonoff space X into the fuzzy sets of Rn
, (FUSCB(Rn),Hend)
, which are upper semi-continuous and have ... [+]
In this paper, we provide several Arzelà–Ascoli-type results on the space of all continuous functions from a Tychonoff space X into the fuzzy sets of Rn
, (FUSCB(Rn),Hend)
, which are upper semi-continuous and have bounded support endowed with the endograph metric. Namely, we obtain positive results when X is considered to be a kr
-space and C(X,(FUSCB(Rn),Hend))
is endowed with the compact open topology, as well as when we assume that X is pseudocompact and C(X,(FUSCB(Rn),Hend))
is equipped with the uniform topology. [-]
Publicado en
Mathematics 2023, 11.Entidad financiadora
Agencia Estatal de Investigación
Código del proyecto o subvención
PID2019-106529GB-I00/AEI/10.13039/501100011033
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info:eu-repo/semantics/openAccess
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