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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 21 , Issue 2 , PP: 59-67, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

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

    [1]          Abbass, H.H., &Luhaib, Q.M., On Smarandache Filter of a Smarandache BH-Algebra. Journal of Physics, 12-34, 2019.

    [2]          Atanassov, K.T., Intuitionistic fuzzy sets. ITKR’S session: sofia,1983.

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    [4]          Hajek, P., Metamathematics of fuzzy logic. Klower Academic Publishers, Dordrecht, 1999.

    [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)

    [7]          Liu,L.Z., &Li, K.T., Fuzzy filters of BL-algebras. Information Sciences, 173,141-154,2005.

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

    [9]          Smarandache, F., A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability. American Research Press, 1999.

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

    [11]        Xu,Y.,Lattice implication algebras. Journal of Southwest Jiaotong University, 28, 20-27,1993.

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

    [13]        Zadeh, L.A., Fuzzy sets. Inform. Control, 8, 338-353, 1965.

    [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 :
    Ibrahim, A.. , Karunya, S.. On Neutrosophic filter and fantastic filter of BL-algebras. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 59-67. DOI: https://doi.org/10.54216/IJNS.210205
    Ibrahim, A. Karunya, S. (2023). On Neutrosophic filter and fantastic filter of BL-algebras. International Journal of Neutrosophic Science, (), 59-67. DOI: https://doi.org/10.54216/IJNS.210205
    Ibrahim, A.. Karunya, S.. On Neutrosophic filter and fantastic filter of BL-algebras. International Journal of Neutrosophic Science , no. (2023): 59-67. DOI: https://doi.org/10.54216/IJNS.210205
    Ibrahim, A. , Karunya, S. (2023) . On Neutrosophic filter and fantastic filter of BL-algebras. International Journal of Neutrosophic Science , () , 59-67 . DOI: https://doi.org/10.54216/IJNS.210205
    Ibrahim A. , Karunya S. [2023]. On Neutrosophic filter and fantastic filter of BL-algebras. International Journal of Neutrosophic Science. (): 59-67. DOI: https://doi.org/10.54216/IJNS.210205
    Ibrahim, A. Karunya, S. "On Neutrosophic filter and fantastic filter of BL-algebras," International Journal of Neutrosophic Science, vol. , no. , pp. 59-67, 2023. DOI: https://doi.org/10.54216/IJNS.210205

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