Some Types of Neutrosophic Filters in Basic Logic Algebras

Authors

  • 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

DOI:

https://doi.org/10.61356/j.nswa.2023.72

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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Published

2023-10-20

How to Cite

A. Ibrahim, S. Karunya Helen Gunaseeli, & 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

Issue

Vol. 11 (2023): Neutrosophic Systems with Applications

Section

Research Articles

License

Copyright (c) 2023 Neutrosophic Systems with Applications

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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