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Based on the concept of , -fuzzy subgroup, the concepts of , -fuzzy subgroup and , -fuzzy normal subgroup generated by a fuzzy subset in a group were introduced and their constructions were established. Then some properties of generated , -fuzzy subgroup and fuzzy normal subgroup were discussed.doi:10.12677/orf.2013.34007 fatcat:yez6qbmofjdn3k5w3eziuz5x2a