PEMETAAN LINIER KONTINU PADA RUANG BERNORMA KABUR

Muhammad Ahsar Karim, Yuni Yulida

Abstract


In metric space we have known about linear mapping and continuous
mapping. Both of the mappings have the important properties in normed space. In
this paper, we study the properties on fuzzy normed space. We start our results
with first to show that the fuzzy normed space is fuzzy metric space. Then, we
define the fuzzy continuous mapping and the fuzzy bounded set on fuzzy normed
space. Moreover, we construct the generalisation of properties of relation
between fuzzy bounded mapping and fuzzy continuous mapping on fuzzy normed
space.


Keywords


fuzzy metric space, fuzzy normed space, fuzzy continuous, fuzzy bounded.

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DOI: https://doi.org/10.20527/epsilon.v3i2.42

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