1 Affiliation : Department of Mathematics, The University of Lahore, 1Km Raiwind Road, Lahore, 54000, Pakistan
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2 Affiliation : Department of Mathematics, Lahore Collage for Women University, Lahore, Pakistan
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3 Affiliation : University of Management and Technology (UMT), C-II, Johar Town, Lahore, 54000, Pakistan email@example.com
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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.
B-algebra , MBJ-neutrosophic set , MBJ-neutrosophic T-ideal , Cartesian product , Homomorphism
 L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353.
 K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebras, Math Japonica 23 (1978), 1- 20.
 K. Iseki, On BCI-algebras, Math. Seminar Notes 8 (1980), 125-130.
 C. Jana, T. Senapati, M. Bhowmik and M. Pal, On intuitionistic fuzzy G-subalgebras, Fuzzy Information and Engineering 7, (2015), 195-209.
 K. T. Atanassov, Intuitionistic fuzzy sets Theory and Applications, Studies in Fuzziness and SoftComputing, Vol. 35, (1999), Physica-Verlag, Heidelberg, New York.
 K. T. Atanassov and G. Gargov, Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 31, (1989), 343-349.
 M. Khalid, R. Iqbal, S. Broumi, Neutrosophic soft cubic Subalgebras of G-algebras. 28, (2019), 259-272. 10.5281/zenodo.3382552
 Y. H. Kim and T. E. Jeong, Intuitionistic fuzzy structure of B-algebras, Journal of Applied Mathematicsand Computing 22, (2006), 491-500.
 T. Senapati, M. Bhowmik and M. Pal, Fuzzy dot subalgebras and fuzzy dot ideals of B-algebras, Journalof Uncertain Systems 8, (2014), 22-30.
 J. Neggers and H. S. Kim , On B-algebras, Mathematichki Vensnik, 54, (2002), 21-29.
 P. K. Sharma, t-Intuitionistic Fuzzy Quotient Group, Advances in Fuzzy Mathematics, 7(1), (2012) 1-9.
 P. K. Sharma, t-Intuitionistic Fuzzy Subrings, IJMS, 11(3-4), (2012), 265-275.
 S. R. Barbhuiya, t- Intuitionistic Fuzzy Subalgebra of BG-Algebras, Advanced Trends in Mathematics 06-01, Vol. 3, pp 16-24, 2015.
 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.
 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.
 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.
 F. Smarandache, A unifying field in logics. Neutrosophy: Neutrosophic probabilfy, set and logic, Rehoboth: American Research Press (1999).
 F. Smarandache Neutrosophic set, a generalization of intuitionistic fuzzy sets, International Journal of Pure and Applied Mathematics, 24(5), (2005), 287–297.