A new definition for nilpotent fuzzy subgroups

In this paper, we introduce a new definition for nilpotent fuzzy subgroups, which is called good nilpotent fuzzy subgroup or briefly g-nilpotent fuzzy subgroup. Since this is similar to group theory´s definition so it is much more easier than before to study on properties of nilpotent fuzzy groups. Basically, we show that a group G is nilpotent if and only if any fuzzy subgroups of G is a g-nilpotent fuzzy subgroup of G.