Some Types of Neutrosophic Filters in Basic Logic Algebras

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Published: Oct 20, 2023
DOI: https://doi.org/10.61356/j.nswa.2023.72
Keywords:
Basic Logic Algebra, Neutrosophic Filter, Neutrosophic Prime Filter, Neutrosophic Boolean Filter, Neutrosophic Prime Boolean Filter

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A. Ibrahim
Assistant Professor, P.G. and Research Department of Mathematics, H.H. the Rajah’s College, Pudukkottai, Affiliated to Bharathidasan University, Trichirappalli, Tamilnadu, India
https://orcid.org/0000-0001-6564-5238
S. Karunya Helen Gunaseeli
Research Scholar, P.G. and Research Department of Mathematics, H.H. the Rajah’s College, Pudukkottai, Affiliated to Bharathidasan University, Trichirappalli, Tamilnadu, India
https://orcid.org/0000-0002-8510-7944
Said Broumi
Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco
https://orcid.org/0000-0002-1334-5759

Abstract


The purpose of this article is to study the neutrosophication of prime and Boolean filters in Basic Logic (BL) algebras. We establish the notions of the neutrosophic prime and Boolean filters of BL-algebras with suitable examples and examine a few of their properties. As a result, we can determine the necessary and sufficient conditions and extension properties of both the neutrosophic prime and Boolean filters of BL-algebras. In addition, by combining both filters we instigate the concept of the neutrosophic prime Boolean filter of BL-algebras with illustration. In the future, the above study can be extended to soft multiset. Moreover, these filters can be applied to various digital image processing techniques.


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How to Cite
Ibrahim, A., Gunaseeli, S. K. H., & Broumi, S. (2023). Some Types of Neutrosophic Filters in Basic Logic Algebras. Neutrosophic Systems With Applications, 11, 31-38. https://doi.org/10.61356/j.nswa.2023.72
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Vol. 11 (2023): Neutrosophic Systems with Applications
Section
Research Articles
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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Ibrahim, A., Gunaseeli, S. K. H., & Broumi, S. (2023). Some Types of Neutrosophic Filters in Basic Logic Algebras. Neutrosophic Systems With Applications, 11, 31-38. https://doi.org/10.61356/j.nswa.2023.72
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