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https://dx.doi.org/10.22111/ij...
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Fuzzy Topology Generated by Fuzzy Norm

Fuzzy topology generated by fuzzy norm
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2016Publisher:University of Sistan and Baluchestan, Zahedan
Authors: Saheli, M.;

doi: 10.22111/ijfs.2016.2599

Fuzzy Topology Generated by Fuzzy Norm

Abstract

Summary: In the current paper, consider the fuzzy normed linear space \((X,N)\) which is defined by \textit{T. Bag} and \textit{S. K. Samanta} [Fuzzy Sets Syst. 151, No. 3, 513--547 (2005; Zbl 1077.46059)]. First, we construct a new fuzzy topology on this space and show that these spaces are Hausdorff locally convex fuzzy topological vector space. Some necessary and sufficient conditions are established to illustrate that the presented fuzzy topology is equivalent to two previously studied fuzzy topologies.

Related Organizations
Keywords

Fuzzy topology, locally convex topological vector space, fuzzy norm, Fuzzy functional analysis, fuzzy topology

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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!
1
Average
Average
Average
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