Neutrosophic N--structures on Sheffer stroke BCH-algebras
The aim of the study is to introduce a neutrosophic N--subalgebra and neutrosophic N--ideal of a Sheffer stroke BCH-algebras. We prove that the level-set of a neutrosophic N--subalgebra (neutrosophic N--ideal) of a Sheffer stroke BCH-algebra is its subalgebra (ideal) and vice versa. Then it is shown...
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Published in | Neutrosophic sets and systems Vol. 50; pp. 459 - 479 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Neutrosophic Sets and Systems
01.09.2022
University of New Mexico |
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Abstract | The aim of the study is to introduce a neutrosophic N--subalgebra and neutrosophic N--ideal of a Sheffer stroke BCH-algebras. We prove that the level-set of a neutrosophic N--subalgebra (neutrosophic N--ideal) of a Sheffer stroke BCH-algebra is its subalgebra (ideal) and vice versa. Then it is shown that the family of all neutrosophic N--subalgebras of a Sheffer stroke BCH-algebra forms a complete distributive modular lattice. Also, we state that every neutrosophic N--ideal of a Sheffer stroke BCH-algebra is its neutrosophic N--subalgebra but the inverse is generally not true. We examine relationships between neutrosophic N--ideals of Sheffer stroke BCH-algebras by means of a surjective homomorphism between these algebras. Finally, certain subsets of a Sheffer stroke BCH-algebra are defined by means of N--functions on this algebraic structure and some properties are investigated. Keywords: Sheffer stroke BCH-algebra; subalgebra; neutrosophic N-- subalgebra; neutrosophic N--ideal. |
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AbstractList | The aim of the study is to introduce a neutrosophic N −subalgebra and neutrosophic N −ideal of a Sheffer stroke BCH-algebras. We prove that the level-set of a neutrosophic N −subalgebra (neutrosophic N −ideal) of a Sheffer stroke BCH-algebra is its subalgebra (ideal) and vice versa. Then it is shown that the family of all neutrosophic N −subalgebras of a Sheffer stroke BCH-algebra forms a complete distributive modular lattice. Also, we state that every neutrosophic N −ideal of a Sheffer stroke BCH-algebra is its neutrosophic N −subalgebra but the inverse is generally not true. We examine relationships between neutrosophic N −ideals of Sheffer stroke BCH-algebras by means of a surjective homomorphism between these algebras. Finally, certain subsets of a Sheffer stroke BCH-algebra are defined by means of N −functions on this algebraic structure and some properties are investigated. The aim of the study is to introduce a neutrosophic N--subalgebra and neutrosophic N--ideal of a Sheffer stroke BCH-algebras. We prove that the level-set of a neutrosophic N--subalgebra (neutrosophic N--ideal) of a Sheffer stroke BCH-algebra is its subalgebra (ideal) and vice versa. Then it is shown that the family of all neutrosophic N--subalgebras of a Sheffer stroke BCH-algebra forms a complete distributive modular lattice. Also, we state that every neutrosophic N--ideal of a Sheffer stroke BCH-algebra is its neutrosophic N--subalgebra but the inverse is generally not true. We examine relationships between neutrosophic N--ideals of Sheffer stroke BCH-algebras by means of a surjective homomorphism between these algebras. Finally, certain subsets of a Sheffer stroke BCH-algebra are defined by means of N--functions on this algebraic structure and some properties are investigated. Keywords: Sheffer stroke BCH-algebra; subalgebra; neutrosophic N-- subalgebra; neutrosophic N--ideal. |
Audience | Academic |
Author | Oner, Tahsin Katican, Tugce Rezaei, Akbar |
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Snippet | The aim of the study is to introduce a neutrosophic N--subalgebra and neutrosophic N--ideal of a Sheffer stroke BCH-algebras. We prove that the level-set of a... The aim of the study is to introduce a neutrosophic N −subalgebra and neutrosophic N −ideal of a Sheffer stroke BCH-algebras. We prove that the level-set of a... |
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Title | Neutrosophic N--structures on Sheffer stroke BCH-algebras |
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