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Fuzzy Sets and Systems
Article . 2008 . Peer-reviewed
License: Elsevier TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 2008
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https://dx.doi.org/10.1016/j.f...
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Fuzzy bounded linear operators in Felbin's type fuzzy normed linear spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2008 English Publisher:Elsevier BVJournal:Fuzzy Sets and Systems, volume 159, pages 685-707 (issn: 0165-0114, Copyright policy )
Authors: Tarapada Bag; Syamal Kumar Samanta;

doi: 10.1016/j.fss.2007.09.006

Fuzzy bounded linear operators in Felbin's type fuzzy normed linear spaces

Abstract

The authors introduce suitable definitions of strongly fuzzy boundedness and weakly fuzzy boundedness for a linear operator over fuzzy normed linear spaces, by means of which a slightly modified definition of fuzzy normed linear space in Felbin's sense is given. Then, the authors obtain the following results: (1) the equivalence of strongly (resp., weakly) fuzzy boundedness and strongly (resp., weakly) fuzzy continuity; (2) the expression of fuzzy norm of strongly (resp., weakly) fuzzy bounded linear operators; (3) the completeness of strongly (resp., weakly) fuzzy dual space for a fuzzy normed linear space; (4) the strong (resp., weak) form of the Hahn-Banach theorem for a fuzzy normed linear space.

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Keywords

fuzzy bounded linear operator, fuzzy norm, Fuzzy operator theory, Fuzzy functional analysis, fuzzy continuous mapping

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
22
Top 10%
Top 10%
Top 10%
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