Abstract:
We study some alternative concepts for a fuzzy normed space and a fuzzy 2-
normed space together with a fuzzy inner product space and a fuzzy 2-inner
product space. The method is to make use of fuzzy points. We also discuss the
relation between a normed space and a fuzzy normed space and the
generalization of a fuzzy normed space to a fuzzy 2-normed space. Conversely,
a fuzzy 2-normed space is reduced to a fuzzy normed space. The same method
is applied to fuzzy inner product spaces.