Another approach to generate fuzzy normed spaces and fuzzy normed algebras by normed spaces and normed algebras respectively

Rasoul Tourani, Ali Reza Khoddami

Abstract


In this paper, we introduce a new approach to generate a fuzzy norm using a classic norm and a continuous Archimedean t-norm (CATN). Our method involves two steps. First, we utilize a CATN to create a continuous additive generator (CAG). Then, we employ the corresponding additive generator (AG) and a classic norm to generate a fuzzy norm.

Keywords


Fuzzy normed space, Fuzzy normed algebra, Pseudo-inverse, Continuous Archimedean t-norm, Additive generator, Multiplicative generator

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