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

Authors

  • Rasoul Tourani Shahrood University of Technology
  • Ali Reza Khoddami Shahrood University of Technology

DOI:

https://doi.org/10.30495/jme.v18i0.3114

Keywords:

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

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.

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Published

2025-01-18

Issue

Vol. 18

Section

Vol. 18, No. 9, (2024)

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