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International Journal of Neutrosophic Science
Volume 21 , Issue 2, PP: 59-67 , 2023 | Cite this article as | XML | Html |PDF

Title

On Neutrosophic filter and fantastic filter of BL-algebras

  A. Ibrahim 1 * ,   S. Karunya Helen Gunaseeli 2

1  Department of Mathematics, H.H. The Rajah’s College, Pudukkottai, Affiliated to Bharathidasan University, Trichirappalli, Tamilnadu, India
    (dribrahimaadhil@gmail.com)

2  Department of Mathematics, H.H. The Rajah’s College, Pudukkottai, Affiliated to Bharathidasan University, Trichirappalli, Tamilnadu, India
    (karjes821@gmail.com)


Doi   :   https://doi.org/10.54216/IJNS.210205

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

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

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[10]        Turunen, E., BL- algebras of Basic Fuzzy Logic. Mathware and Soft Computing, 6,               49-61, 1999.

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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.

 

 


Cite this Article as :
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MLA A. Ibrahim, S. Karunya Helen Gunaseeli. "On Neutrosophic filter and fantastic filter of BL-algebras." International Journal of Neutrosophic Science, Vol. 21, No. 2, 2023 ,PP. 59-67 (Doi   :  https://doi.org/10.54216/IJNS.210205)
APA A. Ibrahim, S. Karunya Helen Gunaseeli. (2023). On Neutrosophic filter and fantastic filter of BL-algebras. Journal of International Journal of Neutrosophic Science, 21 ( 2 ), 59-67 (Doi   :  https://doi.org/10.54216/IJNS.210205)
Chicago A. Ibrahim, S. Karunya Helen Gunaseeli. "On Neutrosophic filter and fantastic filter of BL-algebras." Journal of International Journal of Neutrosophic Science, 21 no. 2 (2023): 59-67 (Doi   :  https://doi.org/10.54216/IJNS.210205)
Harvard A. Ibrahim, S. Karunya Helen Gunaseeli. (2023). On Neutrosophic filter and fantastic filter of BL-algebras. Journal of International Journal of Neutrosophic Science, 21 ( 2 ), 59-67 (Doi   :  https://doi.org/10.54216/IJNS.210205)
Vancouver A. Ibrahim, S. Karunya Helen Gunaseeli. On Neutrosophic filter and fantastic filter of BL-algebras. Journal of International Journal of Neutrosophic Science, (2023); 21 ( 2 ): 59-67 (Doi   :  https://doi.org/10.54216/IJNS.210205)
IEEE A. Ibrahim, S. Karunya Helen Gunaseeli, On Neutrosophic filter and fantastic filter of BL-algebras, Journal of International Journal of Neutrosophic Science, Vol. 21 , No. 2 , (2023) : 59-67 (Doi   :  https://doi.org/10.54216/IJNS.210205)