Submit Your Paper
  1. Home
  2. Journals
  3. International Journal of Neutrosophic Science

International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)
Submit Your Paper

Journal Menu

Homepage Journal Overview Editorial Board Submitting Articles Indexing & Abstracting

Journal Volumes

International Journal of Neutrosophic Science

Volume 1 , Issue 1 , PP: 29-39, 2020 | Cite this article as | XML | Html | PDF | Full Length Article

MBJ-neutrosophic T-ideal on B-algebra

Mohsin Khalid 1 * , Neha Andaleeb Khalid 2 , Rakib Iqbal 3

  • 1 Department of Mathematics, The University of Lahore, 1Km Raiwind Road, Lahore, 54000, Pakistan - (mk4605107@gmail.com)
  • 2 Department of Mathematics, Lahore Collage for Women University, Lahore, Pakistan - (nehakhalid97@gmail.com)
  • 3 University of Management and Technology (UMT), C-II, Johar Town, Lahore, 54000, Pakistan mk4605107@gmail.com - (rakibiqbal2012@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.010103

    Abstract

       In this paper we define and study the MBJ-neutrosophic T-ideal through diferent concept like union, intersection. further we use the important properties to investigate the MBJ-neutrosophic T-ideal under cartesian product and homomorphic results.

    Keywords :

    B-algebra, MBJ-neutrosophic set, MBJ-neutrosophic T-ideal, Cartesian product, Homomorphism

    References

    [1]  L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353.

    [2]   K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebras, Math Japonica 23 (1978), 1- 20.

    [3]   K. Iseki, On BCI-algebras, Math. Seminar Notes 8 (1980), 125-130.

    [4]   C. Jana, T. Senapati, M. Bhowmik and M. Pal, On intuitionistic fuzzy G-subalgebras, Fuzzy Information and Engineering 7, (2015), 195-209.

    [5]   K. T. Atanassov, Intuitionistic fuzzy sets Theory and Applications, Studies in Fuzziness and SoftComputing, Vol. 35, (1999),  Physica-Verlag, Heidelberg, New York.

    [6]   K. T. Atanassov and G. Gargov, Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 31, (1989), 343-349.

    [7]  M. Khalid, R. Iqbal, S. Broumi, Neutrosophic soft cubic Subalgebras of G-algebras. 28, (2019), 259-272. 10.5281/zenodo.3382552

    [8]   Y. H. Kim and T. E. Jeong, Intuitionistic fuzzy structure of B-algebras, Journal of Applied Mathematicsand Computing 22, (2006), 491-500.

    [9]   T. Senapati, M. Bhowmik and M. Pal, Fuzzy dot subalgebras and fuzzy dot ideals of B-algebras, Journalof Uncertain Systems 8, (2014), 22-30.

    [10]  J. Neggers and H. S. Kim , On B-algebras, Mathematichki Vensnik, 54, (2002), 21-29.

    [11]  P. K. Sharma, t-Intuitionistic Fuzzy Quotient Group, Advances in Fuzzy Mathematics, 7(1), (2012) 1-9.

    [12]  P. K. Sharma, t-Intuitionistic Fuzzy Subrings, IJMS, 11(3-4),  (2012),  265-275.

    [13]  S. R. Barbhuiya, t- Intuitionistic Fuzzy Subalgebra of BG-Algebras, Advanced Trends in Mathematics 06-01, Vol. 3, pp 16-24, 2015.

    [14]   T. Priya and T. Ramachandran, A note on fuzzy PS-ideals in PS-algebra and its level subsets, International Journal of Advanced Mathematical Sciences, Vol. 2, No. 2, (2014), 101-106.

    [15]  M. Khalid, N. A. Khalid, and S. Broumi, T-Neutrosophic Cubic Set on BF-Algebra, Neutrosophic Sets and Systems, vol. 31, (2020),  pp. 127-147. DOI: 10.5281/zenodo.3639470.

    [16]  Mohseni, T. M. Borzooei, R. and Jun, Y. B. (2018) MBJ-neutrosophic structures and its applications in BCK/BCI-algebras, Neutrosophic Sets and Systems. 23, 72-84. 10.5281/zenodo.2155211.

    [17]  F. Smarandache, A unifying field in logics. Neutrosophy: Neutrosophic probabilfy, set and logic, Rehoboth: American Research Press (1999).

    [18]  F. Smarandache Neutrosophic set, a generalization of intuitionistic fuzzy sets, International Journal of Pure and Applied Mathematics, 24(5), (2005), 287–297.

     

    Cite This Article As :
    Khalid, Mohsin. , Andaleeb, Neha. , Iqbal, Rakib. MBJ-neutrosophic T-ideal on B-algebra. International Journal of Neutrosophic Science, vol. , no. , 2020, pp. 29-39. DOI: https://doi.org/10.54216/IJNS.010103
    Khalid, M. Andaleeb, N. Iqbal, R. (2020). MBJ-neutrosophic T-ideal on B-algebra. International Journal of Neutrosophic Science, (), 29-39. DOI: https://doi.org/10.54216/IJNS.010103
    Khalid, Mohsin. Andaleeb, Neha. Iqbal, Rakib. MBJ-neutrosophic T-ideal on B-algebra. International Journal of Neutrosophic Science , no. (2020): 29-39. DOI: https://doi.org/10.54216/IJNS.010103
    Khalid, M. , Andaleeb, N. , Iqbal, R. (2020) . MBJ-neutrosophic T-ideal on B-algebra. International Journal of Neutrosophic Science , () , 29-39 . DOI: https://doi.org/10.54216/IJNS.010103
    Khalid M. , Andaleeb N. , Iqbal R. [2020]. MBJ-neutrosophic T-ideal on B-algebra. International Journal of Neutrosophic Science. (): 29-39. DOI: https://doi.org/10.54216/IJNS.010103
    Khalid, M. Andaleeb, N. Iqbal, R. "MBJ-neutrosophic T-ideal on B-algebra," International Journal of Neutrosophic Science, vol. , no. , pp. 29-39, 2020. DOI: https://doi.org/10.54216/IJNS.010103

    Article Statistics

    View
    57391
    Download
    2025

    Download