Some Properties of Fuzzy Compact Algebra Fuzzy Normed Spaces and Finite Dimensional Algebra Fuzzy Normed Spaces

Abstract

Our goal in this article is to recall the notion of algebra fuzzy normed space and its basic properties to introduce the notion of fuzzy compact algebra fuzzy normed space. Then some properties of fuzzy compact algebra fuzzy normed spaces are proved. After that, we study a finite dimensional algebra fuzzy normed space and we proved some properties that algebra fuzzy normed spaces do not admit it.

The Product Fuzzy Metric Space and its Basic Properties

“…A considerable number of papers for the FMS and FNS have been published, for example, see [1][2][3][4][5][6][7]. Kider with his students present many definitions of FMS and FNS from 2011 to 2020 for example see [8,9,10].…”