In this article, we present the idea of fuzzy subbigroups by using $t$-norm $T$ and some interesting results of them are given. By utilizing this new idea, we further introduce the notion normal fuzzy subbigroups and characterizations of them are explored. Next we investigate the intersection of them and we obtain some new results about them. Finally, we consider the image and pre image of them under group homomorphisms.
Keywords and Phrases
Groups, bigroups, fuzzy set theory, fuzzy groups, norms, homomorphisms.
A.M.S. subject classiﬁcation
11E57, 03E72, 20N25, 47A30, 05C60.