The notion of neutrosophic N -structure is introduced, and applied it to semigroup. The notions of neutrosophic N -subsemigroup, neutrosophic N -product and ε-neutrosophic N -subsemigroup are introduced, and several properties are investigated. Conditions for neutrosophic N -structure to be neutrosophic N -subsemigroup are provided. Using neutrosophic N -product, characterization of neutrosophic N -subsemigroup is discussed. Relations between neutrosophic N -subsemigroup and εneutrosophic N -subsemigroup are discussed. We show that the homomorphic preimage of neutrosophic N -subsemigroup is a neutrosophic N - subsemigroup, and the onto homomorphic image of neutrosophic N - subsemigroup is a neutrosophic N -subsemigroup.
Kyung Moon Sa Co.
Annals of Fuzzy Mathematics and Informatics
neutrosophic N -structure, semigroups, neutrosophic logic
Smarandache, Florentin; Madad Khan; Saima Anis; and Young Bae Jun. "Neutrosophic N -structures and their applications in semigroups." Annals of Fuzzy Mathematics and Informatics (2017). https://digitalrepository.unm.edu/math_fsp/410
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