On the Fuzzy Number Space with the Level Convergence Topology
Joint Authors
Sanchis, Manuel
Font, J. J.
Miralles, A.
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-06
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We characterize compact sets of ?1 endowed with the level convergence topology τℓ.
We also describe the completion (?1̂,?̂) of ?1 with respect to its natural uniformity, that is, the pointwise uniformity ?, and show other topological properties of ?1̂, as separability.
We apply these results to give an Arzela-Ascoli theorem for the space of (?1,τℓ)-valued continuous functions on a locally compact topological space equipped with the compact-open topology.
American Psychological Association (APA)
Font, J. J.& Miralles, A.& Sanchis, Manuel. 2012. On the Fuzzy Number Space with the Level Convergence Topology. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-994193
Modern Language Association (MLA)
Font, J. J.…[et al.]. On the Fuzzy Number Space with the Level Convergence Topology. Journal of Function Spaces No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-994193
American Medical Association (AMA)
Font, J. J.& Miralles, A.& Sanchis, Manuel. On the Fuzzy Number Space with the Level Convergence Topology. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-994193
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994193