Fuzzy Topology Generated by Fuzzy Norm
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Abstract:
In the current paper, consider the fuzzy normed linear space $(X,N)$ which is defined by Bag and Samanta. 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.
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Journal title
volume 13 issue 4
pages 113- 123
publication date 2016-08-30
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