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International Journal of Neutrosophic Science
Volume 1 , Issue 1, PP: 29-39 , 2020 | Cite this article as | XML | Html |PDF

Title

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 :
Style #
MLA Mohsin Khalid, Neha Andaleeb Khalid, Rakib Iqbal. "MBJ-neutrosophic T-ideal on B-algebra." International Journal of Neutrosophic Science, Vol. 1, No. 1, 2020 ,PP. 29-39 (Doi   :  https://doi.org/10.54216/IJNS.010103)
APA Mohsin Khalid, Neha Andaleeb Khalid, Rakib Iqbal. (2020). MBJ-neutrosophic T-ideal on B-algebra. Journal of International Journal of Neutrosophic Science, 1 ( 1 ), 29-39 (Doi   :  https://doi.org/10.54216/IJNS.010103)
Chicago Mohsin Khalid, Neha Andaleeb Khalid, Rakib Iqbal. "MBJ-neutrosophic T-ideal on B-algebra." Journal of International Journal of Neutrosophic Science, 1 no. 1 (2020): 29-39 (Doi   :  https://doi.org/10.54216/IJNS.010103)
Harvard Mohsin Khalid, Neha Andaleeb Khalid, Rakib Iqbal. (2020). MBJ-neutrosophic T-ideal on B-algebra. Journal of International Journal of Neutrosophic Science, 1 ( 1 ), 29-39 (Doi   :  https://doi.org/10.54216/IJNS.010103)
Vancouver Mohsin Khalid, Neha Andaleeb Khalid, Rakib Iqbal. MBJ-neutrosophic T-ideal on B-algebra. Journal of International Journal of Neutrosophic Science, (2020); 1 ( 1 ): 29-39 (Doi   :  https://doi.org/10.54216/IJNS.010103)
IEEE Mohsin Khalid, Neha Andaleeb Khalid, Rakib Iqbal, MBJ-neutrosophic T-ideal on B-algebra, Journal of International Journal of Neutrosophic Science, Vol. 1 , No. 1 , (2020) : 29-39 (Doi   :  https://doi.org/10.54216/IJNS.010103)