Article ID Journal Published Year Pages File Type
389135 Fuzzy Sets and Systems 2016 16 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence
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