Neutrosophic Triplet Non-Associative Semihypergroups with Application
Abstract
:1. Introduction
2. Preliminaries
3. Neutrosophic Triplet -Semihypergroups
- left neutrosophic triplet set if for every , there exist and such that
- right neutrosophic triplet set if for every , there exist and such that
- neutrosophic triplet set if for every , there exist and such that
- pure left neutrosophic triplet set if for every , there exist and such that
- pure right neutrosophic triplet set if for every , there exist and such that
- pure neutrosophic triplet set if for every , there exist and such that
- is well defined.
- satisfies the left invertive law.
- is a well defined.
- satisfies the left invertive law.
- for all
- for all
- K is a neutrosophic triplet -semihypergroup.
- For all
- The image of f is a neutrosophic triplet -subsemihypergroup of
- The inverse image of f is a neutrosophic -subsemihypergroup of .
- Every neutrosophic triplet -semihypergroup is an -semihypergroup, but the reverse may or may not true.
- In neutrosophic triplet -semihypergroup, every element must have a left but in an -semihypergroup the left of an element may or may not exist.
- In neutrosophic -semihypergroup, every element must have left but in an -semihypergroup the element may or may not have semihypergroup.
- In neutrosophic -semihypergroup pure left is not equal to pure left Identity.
4. Application
5. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Gulistan, M.; Nawaz, S.; Hassan, N. Neutrosophic Triplet Non-Associative Semihypergroups with Application. Symmetry 2018, 10, 613. https://doi.org/10.3390/sym10110613
Gulistan M, Nawaz S, Hassan N. Neutrosophic Triplet Non-Associative Semihypergroups with Application. Symmetry. 2018; 10(11):613. https://doi.org/10.3390/sym10110613
Chicago/Turabian StyleGulistan, Muhammad, Shah Nawaz, and Nasruddin Hassan. 2018. "Neutrosophic Triplet Non-Associative Semihypergroups with Application" Symmetry 10, no. 11: 613. https://doi.org/10.3390/sym10110613