Abstract
In this paper, the notions of cubic fuzzy groups and cubic fuzzy normal subgroups are introduced. The internal, external of cubic sets, (P-,R-) order, (P-,R-) intersection and (P-,R-) union of cubic fuzzy groups are investigated and some related properties were obtained. It is proved that a cubic fuzzy group which is both (internal, external) cubic set. Also we provide condition on cubic fuzzy group to be an internal cubic set. We show that (P-,R-) intersection and (P-,R-) union of cubic fuzzy groups are also cubic fuzzy groups. Also the (P-,R-) intersection, (P-,R-) union of cubic fuzzy normal subgroups are proved to be cubic fuzzy normal subgroup.
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