Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389135 | Fuzzy Sets and Systems | 2016 | 16 Pages |
Abstract
In the present paper we firstly introduce the notion of fuzzy pseudo-norm, then we extend, improve and complete the results obtained by T. Bag and S.K. Samanta for fuzzy norms, in the fuzzy pseudo-norms context. Lastly, we introduce and discuss the notions of fuzzy F-norm and fuzzy F-space. By means of several auxiliary results, we obtain a characterization of metrizable topological linear spaces in terms of fuzzy F-norm.
Keywords
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Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Sorin Nădăban,