Some new properties of fuzzy normed linear spaces

الملخص EN

In this paper, the concept of topological fuzzy isomorphism is introduced.

Firstly, the definitions of fuzzy bounded sets, fuzzy closed sets, fuzzy dense sets and fuzzy compact sets are given.

Moreover some properties that are preserved by topologically fuzzy isomorphism are investigated.

Finally, in finite dimensional fuzzy normed linear spaces over R , we proved that fuzzy compactness is equivalent to fuzzy closeness together with fuzzy boundedness.