Abstract
The N-Euclidean space M(I) is a fuzzy normed vector space, whose underlying set is the smallest real vector space including all nonnegative fuzzy real numbers. The fuzzy multiplication on the fuzzy real line easily extends to a multiplication on M(I) . We show that, under that multiplication, M(I) is a fuzzy normed algebra. In consequence, fuzzy multiplication is shown to be continuous in the N-Euclidean topology on M(I) .
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