structure of Q-fuzzy HX group and anti Q-fuzzy HX subgroup and some related properties
are ivestigated. We establish the relation between Q-fuzzy HX group and anti Q-fuzzy HX
group of a HX group. The purpose of this study is to implement the fuzzy set theory and
group theory in anti Q-fuzzy HX subgroups. Characterizations of lower level subsets of an
anti Q-fuzzy HX subgroup of a HX group are given.