No 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.

Our aim in the this research is to introduce the notion of algebra fuzzy absolute value in order to introduce new type of fuzzy normed space called algebra fuzzy normed space after that some examples is introduced to illustrate these notions. Then some properties of algebra fuzzy absolute value space are proved after that basic of algebra fuzzy normed space also proved.