On Cubic Fuzzy Groups and Cubic Fuzzy Normal Subgroups
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KEYWORS: Fuzzy set, interval-valued fuzzy set, Cubic fuzzy group, (Internal, External) cubic set, (P-,R-) intersection and (P-,R-) union.
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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Copyright (c) 2022 Kardo Sleman Haso, Alias Barakat Khalaf
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