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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 21 , Issue 1 , PP: 69-79, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Application of Neutrosophic implicative filters and Neutrosophic positive implicative filters in Lattice implication algebra

V. S. Naga Malleswari 1 * , G. Luka 2 , Bhagyalakshmi Kothuru 3 , T. Srinivasa Rao 4 , V. Amarendra Babu 5

  • 1 Department of Freshman Engineering, PVP Siddhartha Institute of Technology, Vijayawada, India - (vsnm.maths@gmail.com)
  • 2 Department of Mathematics, Government Polytechnic for minorities, Guntur, India - (gunturuluka@gmail.com)
  • 3 Department of Mathematics, KKR& KSR Institute of Technology& Sciences, Guntur, India - (mblakshmi12@gmail.com)
  • 4 Department of Mathematics, KL university, Vaddeswaram, India - (tsr_2505@kluniversity.in)
  • 5 Department of Mathematics, Acharya Nagarjuna University, Guntur, India - ( amar521@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.210106

    Received: January 24, 2023 Revised: April 12, 2023 Accepted: May 09, 2023
    Abstract

    We introduced Neutrosophic implicative filters and Neutrosophic positive implicative filters in Lattice implication algebra. We proved some properties and equivalent conditions of both the filters. Finally we proved that “Every Neutrosophic positive implicative filter is a Neutrosophic implicative filter” and “Every Neutrosophic positive implicative filter is a Neutrosophic filter”.

    Keywords :

    Neutrosophic set (NS) , Neutrosophic filter (NF) , Neutrosophic implicative filter (NIF) , Neutrosophic positive implicative filter (NPIF) , Lattice implication algebra (LIA).

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    Cite This Article As :
    S., V.. , Luka, G.. , Kothuru, Bhagyalakshmi. , Srinivasa, T.. , Amarendra, V.. Application of Neutrosophic implicative filters and Neutrosophic positive implicative filters in Lattice implication algebra. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 69-79. DOI: https://doi.org/10.54216/IJNS.210106
    S., V. Luka, G. Kothuru, B. Srinivasa, T. Amarendra, V. (2023). Application of Neutrosophic implicative filters and Neutrosophic positive implicative filters in Lattice implication algebra. International Journal of Neutrosophic Science, (), 69-79. DOI: https://doi.org/10.54216/IJNS.210106
    S., V.. Luka, G.. Kothuru, Bhagyalakshmi. Srinivasa, T.. Amarendra, V.. Application of Neutrosophic implicative filters and Neutrosophic positive implicative filters in Lattice implication algebra. International Journal of Neutrosophic Science , no. (2023): 69-79. DOI: https://doi.org/10.54216/IJNS.210106
    S., V. , Luka, G. , Kothuru, B. , Srinivasa, T. , Amarendra, V. (2023) . Application of Neutrosophic implicative filters and Neutrosophic positive implicative filters in Lattice implication algebra. International Journal of Neutrosophic Science , () , 69-79 . DOI: https://doi.org/10.54216/IJNS.210106
    S. V. , Luka G. , Kothuru B. , Srinivasa T. , Amarendra V. [2023]. Application of Neutrosophic implicative filters and Neutrosophic positive implicative filters in Lattice implication algebra. International Journal of Neutrosophic Science. (): 69-79. DOI: https://doi.org/10.54216/IJNS.210106
    S., V. Luka, G. Kothuru, B. Srinivasa, T. Amarendra, V. "Application of Neutrosophic implicative filters and Neutrosophic positive implicative filters in Lattice implication algebra," International Journal of Neutrosophic Science, vol. , no. , pp. 69-79, 2023. DOI: https://doi.org/10.54216/IJNS.210106

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