Characterization of TF(G) and direct product of it

In this paper, using a t-norm T, we define and introduce the notions fuzzysubgroups, direct product of fuzzy subgroups, normal fuzzy subgroups andnormal direct product of fuzzy subgroups. Next we investigate theirproperties and obtain some new results about them. Later, we investigatethem under group homomorphisms.

Keywords:

fuzzy groups , t-norm , direct products.