2010•Journal of Liaoning Technical UniversityRequires access

Some properties of equivalent norm on fuzzy normed linear space

L. Shu, Yihui Zha, Daowen Qiu

Abstract

This paper aims to investigate the properties of fuzzy norm and fuzzy normed linear spaces. It is natural and necessary to introduce the characteristics of equivalence fuzzy norm and to investigate the corresponding characteristics of fuzzy norm. In particular,the authors verify the equivalent characteristics of the fuzzy norm. The case study demonstrates that the results are valid and the new approach provides a mean for further study on fuzzy normed linear spaces.

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Available abstract

Key concepts: Mathematics, Norm (philosophy), Fuzzy logic, Dual norm, T-norm, Equivalence (formal languages), Normed vector space, Fuzzy number