ITES2001 - Fourth Italian-Spanish Conference on
GENERAL TOPOLOGY AND ITS APPLICATIONS
Bressanone, 27-30 June 2001

On fuzzy normed spaces
Valentin Gregori, Juan A. Mascarell, Salvador Romaguera
Universidad Politécnica de Valencia, Spain

The abstract of the talk (see below) may be downloaded in one of the following formats:


According to the notion of a fuzzy metric due to George and Veeramnai, we
give a concept of fuzzy norm which permits us, in a similar way to the
classic case, to induce a fuzzy metric which is invariant for
(fuzzy)traslation. We also prove that each normed linear space can be
endowed with the structure of a fuzzy normed space.

Although we do not know if the converse holds, we show that the topological
space induced by a fuzzy normed space has the structure of a topological
linear space.

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{\it Mathematics Subject Classification\/} 54A40.\\[5pt]
{\it Key words and phrases\/}: fuzzy metric, fuzzy norm.


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