A Study of Neutrosophic Cubic Ideals in Semigroups with Application

Muhammad Gulistan, Majid Khan, Kostaq Hila

Abstract

The semigroup has many applications in finite state machine, transformationetc. So the abstract concept of neutrosophic cubic sets was required toestablish these ideas. It was a motivation for the authors to present the idea ofneutrosophic cubic semigroups. Operational properties of neutrosophic cubicsets are investigated. The notion of neutrosophic cubic subsemigroups andneutrosophic cubic left (resp. right) ideals are introduced and severalproperties are investigated. Relations between neutrosophic cubicsubsemigroups and neutrosophic cubic left (resp. right) ideals arediscussed. Characterizations of neutrosophic cubic left (resp. right) idealsare considered, and how the images or inverse images of neutrosophic cubicsubsemigroups and cubic left (resp. right) ideals become neutrosophic cubicsubsemigroups and neutrosophic cubic left (resp. right) ideals,respectively, are studied. An application on neutrosophic cubicideals is discussed.