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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 20 , Issue 4 , PP: 223-234, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Application of Neutrosophic Filters in Lattice Implication Algebra

V. S. Naga Malleswari 1 * , Kiran kumar 2 , K. Bhagya Lakshmi 3 , G. Luka 4 , T. Srinivasa Rao 5

  • 1 Department of Freshman Engineering, Pvp Siddhartha institute of Technology, Vijayawada, India - (vsnm.maths@gmail.com)
  • 2 Department of Freshman Engineering, Pvp Siddhartha institute of Technology, Vijayawada, India - (kkumark2005@yahoo.co.in)
  • 3 Department of Mathematics,KKR&KSR Institute of technology,Guntur, India - (mblakshmi12@gmail.com)
  • 4 Department of Mathematics, Government polytechnic for minorities,Guntur, India - (gunturuluka@gmail.com)
  • 5 Department of Mathematics, KL university, Vaddeswaram, India - (tsr_2505@kluniversity.in)

    • Doi: https://doi.org/10.54216/IJNS.200418

    Received: December 02, 2022 Accepted: April 12, 2023
    Abstract

    Neutrosophic set theory is applied to lattice implication algebra, and the concept of neutrosophic filters and neutrosophic lattice filters in lattice implication algebra are introduced. Several properties are investigated.  Characterizations of a neutrosophic filter are discussed. Finally, we proved that every neutrosophic filter is a neutrosophic lattice filter, but the converse is invalid.

    Keywords :

    Neutrosophic set(NS) , Lattice implication algebra (LIA) , Neutrosophic filter(NF) , Neutrosophic lattice filter(NLF)

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    Cite This Article As :
    S., V.. , kumar, Kiran. , Bhagya, K.. , Luka, G.. , Srinivasa, T.. Application of Neutrosophic Filters in Lattice Implication Algebra. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 223-234. DOI: https://doi.org/10.54216/IJNS.200418
    S., V. kumar, K. Bhagya, K. Luka, G. Srinivasa, T. (2023). Application of Neutrosophic Filters in Lattice Implication Algebra. International Journal of Neutrosophic Science, (), 223-234. DOI: https://doi.org/10.54216/IJNS.200418
    S., V.. kumar, Kiran. Bhagya, K.. Luka, G.. Srinivasa, T.. Application of Neutrosophic Filters in Lattice Implication Algebra. International Journal of Neutrosophic Science , no. (2023): 223-234. DOI: https://doi.org/10.54216/IJNS.200418
    S., V. , kumar, K. , Bhagya, K. , Luka, G. , Srinivasa, T. (2023) . Application of Neutrosophic Filters in Lattice Implication Algebra. International Journal of Neutrosophic Science , () , 223-234 . DOI: https://doi.org/10.54216/IJNS.200418
    S. V. , kumar K. , Bhagya K. , Luka G. , Srinivasa T. [2023]. Application of Neutrosophic Filters in Lattice Implication Algebra. International Journal of Neutrosophic Science. (): 223-234. DOI: https://doi.org/10.54216/IJNS.200418
    S., V. kumar, K. Bhagya, K. Luka, G. Srinivasa, T. "Application of Neutrosophic Filters in Lattice Implication Algebra," International Journal of Neutrosophic Science, vol. , no. , pp. 223-234, 2023. DOI: https://doi.org/10.54216/IJNS.200418

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