Neutrosophic N -structures and their applications in semigroups

Authors

Florentin Smarandache, University of New MexicoFollow
Madad Khan
Saima Anis
Young Bae Jun

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.