Endograph Metric and a Version of the Arzelà–Ascoli Theorem for Fuzzy Sets
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Endograph Metric and a Version of the Arzelà–Ascoli Theorem for Fuzzy SetsData de publicació
2023Editor
MDPICita bibliogràfica
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/math11020260Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.mdpi.com/2227-7390/11/2/260Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
Mathematics 2023, 11.Entitat finançadora
Agencia Estatal de Investigación
Codi del projecte o subvenció
PID2019-106529GB-I00/AEI/10.13039/501100011033
Drets d'accés
info:eu-repo/semantics/openAccess
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- MAT_Articles [769]
- IMAC_Articles [122]
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