Science Journal of University of Zakho (Jul 2022)

On Cubic Fuzzy Groups and Cubic Fuzzy Normal Subgroups

  • Kardo Sleman Haso,
  • Alias Barakat Khalaf

DOI
https://doi.org/10.25271/sjuoz.2022.10.3.907
Journal volume & issue
Vol. 10, no. 3

Abstract

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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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