Fuzzy implications play a key role in fuzzy control, fuzzy logic systems, fuzzy decision theory, expert systems etc. In this research paper, the notions of implication-based intuitionistic anti-fuzzy subgroup and implication-based intuitionistic anti-fuzzy normal sub- group of a group are applied and implication-based intuitionistic anti-fuzzy direct product of implication-based intuitionistic anti-fuzzy subgroups is developed. Few fundamental properties concerning them are proved.
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