The aim of this study is to investigate some properties of the pointed fuzzy topological spaces which are H-spaces (fuzzy H-spaces). We show that the fuzzy deformation retract of a pointed fuzzy topological space having H-group structure is itself a fuzzy H-group. Then we show that there exist a functor from the homotopy category of fuzzy H-groups and fuzzy H-homomorphisms to the category of groups and homomorphisms. Consequently, we obtain some important results.

Hopf group, fuzzy deformation retract, fuzzy H-space, fuzzy homotopy.