[5] has shown that the intersection of any two fuzzy subgroups is also a fuzzy subgroup and we now show that the intersection of any two anti fuzzy subgroups is also an anti fuzzy subgroup. More over, we state and prove the anti fuzzy version the work of [6] in characterizing union of fuzzy subgroups. Besides, [2] and [7] have worked on the set of all fuzzy symmetric subgroup of the symmetric group F (S_n).
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