Abstract:
This article discusses two concepts of space, that is a fuzzy n-norm space and fuzzy
n-inner product space for every natural number n ≥ 1. Then it is shown that for
every k from 1 to n−1, it can be constructed a fuzzy (n−k)-norm space from fuzzy
n-norm space. Next, for every k from 1 to n − 1 it can also be constructed a fuzzy
(n−k)-inner product space from fuzzy n-inner product space. Lastly but not least,
if a fuzzy inner product space is given, then a fuzzy n-inner product space can be
constructed for every n ≥ 2.