Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Article
Publication Date
10-2017
Abstract
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.
Publisher
Kyung Moon Sa Co.
Publication Title
Annals of Fuzzy Mathematics and Informatics
ISSN
2093–9310
Language (ISO)
English
Keywords
neutrosophic N -structure, semigroups, neutrosophic logic
Recommended Citation
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
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.