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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
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Volume 21 • Issue 2 • PP: 59-67 • 2023

On Neutrosophic filter and fantastic filter of BL-algebras

A. Ibrahim 1*
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,
S. Karunya Helen Gunaseeli 1
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1Department of Mathematics, H.H. The Rajah’s College, Pudukkottai, Affiliated to Bharathidasan University, Trichirappalli, Tamilnadu, India
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.210205
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© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: February 11, 2023 Revised: April 29, 2023 Accepted: May 27, 2023
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Abstract

The main aim of this paper is to present a few characteristics of the neutrosophic filter of BL-algebras. Also, we introduce the notion of the neutrosophic fantastic filter of BL-algebras with an illustration and discuss a few of its properties. Moreover, we prove every neutrosophic fantastic filter is a neutrosophic filter in BL-algebras. Finally, we acquire an extension property and equivalent condition of the neurosophic fantastic filter of BL-algebras.

Keywords

BL-algebra filter neutrosophic filter fantastic filter neutrosophic fantastic filter.

References

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[5]          Haveshki,  M., Borumand Saied, A., & Eslami, E., Some types of filters in                                      BL-algebras.SoftComput.,10,657-664, 2006.

[6]          Ibrahim, A., & Karunya Helen Gunaseeli, S., On Neutrosophic filter of BL-algebras. Ratio Mathematica, 47,2023(Accepted)

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[8]          Salama, A.A., & Alagamy, H.,Neutrosophic Filters. Journal of Computer Science Engineering, 307-312,2013. 

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[12]        Yahya Mohamed, S., &Umamaheshwari, P., Vague filter of BL- algebras. Computer and    Math. Sciences,9(8), 914-920,2018.

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[14]        Zhang,X., Mao, X.,Wu, Y., & Zhai, X., Neutrosophic Filters in Pseudo-BCI algebras. International Journal for Uncertainty Quantification,8(6),511-526,2018.

[15]        Zhang, X.H., Fuzzy logic and its algebraic analysis. Science Press, 2008.

 

 

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Ibrahim, A., Gunaseeli, S. Karunya Helen. "On Neutrosophic filter and fantastic filter of BL-algebras." International Journal of Neutrosophic Science, vol. Volume 21, no. Issue 2, 2023, pp. 59-67. DOI: https://doi.org/10.54216/IJNS.210205
Ibrahim, A., Gunaseeli, S. (2023). On Neutrosophic filter and fantastic filter of BL-algebras. International Journal of Neutrosophic Science, Volume 21(Issue 2), 59-67. DOI: https://doi.org/10.54216/IJNS.210205
Ibrahim, A., Gunaseeli, S. Karunya Helen. "On Neutrosophic filter and fantastic filter of BL-algebras." International Journal of Neutrosophic Science Volume 21, no. Issue 2 (2023): 59-67. DOI: https://doi.org/10.54216/IJNS.210205
Ibrahim, A., Gunaseeli, S. (2023) 'On Neutrosophic filter and fantastic filter of BL-algebras', International Journal of Neutrosophic Science, Volume 21(Issue 2), pp. 59-67. DOI: https://doi.org/10.54216/IJNS.210205
Ibrahim A, Gunaseeli S. On Neutrosophic filter and fantastic filter of BL-algebras. International Journal of Neutrosophic Science. 2023;Volume 21(Issue 2):59-67. DOI: https://doi.org/10.54216/IJNS.210205
A. Ibrahim, S. Gunaseeli, "On Neutrosophic filter and fantastic filter of BL-algebras," International Journal of Neutrosophic Science, vol. Volume 21, no. Issue 2, pp. 59-67, 2023. DOI: https://doi.org/10.54216/IJNS.210205
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