1634 1375
Full Length Article
International Journal of Neutrosophic Science
Volume 4 , Issue 2, PP: 93-103 , 2020 | Cite this article as | XML | Html |PDF

Title

A STUDY OF NEUTROSOPHIC CUBIC MN SUBALGEBRA

  Mohsin Khalid 1 * ,   Neha Andaleeb Khalid 2

1  Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
    (mk4605107@gmail.com)

2  Department of Mathematics, Lahore Collage For Women University, Lahore, Pakistan
    (nehakhalid97@gmail.com)


Doi   :   https://doi.org/10.54216/IJNS.040203


Abstract :

In this paper, we present the new kind of MN-subalgebra for neutrosophic cubic set which is called neutrosophic cubic MN-subalgebra where M represents the initial of author’s first name Mohsin and N represents the initial of second author’s first name Neha. We investigate this neutrosophic cubic MN-subalgebra on BF-algebra through some significant properties of BF-algebra. We also use R-intersection, p-intersection, p-union upper bound, lower bound and some important characteristics to study the behaviour of neutrosophic cubic MN-subalgebra [NCMNSU] on BF-algebra.

Keywords :

BF-algebra , Neutrosophic cubic set , Neutrosophic cubic MN-subalgebra

References :

[1] S. S.  Ahn, K. Bang, “On fuzzy subalgebras in B-algebra”, Communications of the Korean Mathematical Society 18, pp. 429-437, 2003. 

[2] R. Biswas, “Rosenfeld’s fuzzy subgroup with interval valued membership function”, Fuzzy Sets and Systems, 63, pp. 87-90, 1994. 

[3] Y. B. Jun, C. S. Kim, K. O Yang, “Cubic sets”, Annuals of Fuzzy Mathematics and Informatics, 4, pp. 83-98, 2012. 

[4] Y. B. Jun, S. T. Jung, M. S. Kim,  “Cubic subgroup”, Annals of Fuzzy Mathematics and Infirmatics, 2, pp. 9-15, 2011. 

[5]  Y. B. Jun, F. Smarandache, C. S. Kim,  “Neutrosophic cubic sets”, New Math. and Natural Comput., 8, 41, 2015. 

[6] C. B. Kim, H. S. Kim, “On BG-algebra”, Demonstration Mathematica, 41, pp. 497-505, 2008. 

[7] W. Andrzej, “On BF-algebras”, Mathematica Slovaca, 57, 2007. 

[8] J. Neggers, H. S. Kim, “A fundamental theorem of B-homomorphism for B-algebras”, International Mathematical Journal, 2, pp. 215-219, 2002. 

[9] S. S. Ahn,  J. M. Ko, “Structure of BF-algebras”, Applied Mathematical Sciences, pp. 6369–6374, 2015. 

[10] A. B. Saeid, “Interval-valued fuzzy B-algebras”, Iranian Journal of Fuzzy System, 3, pp. 63-73, 2006. 

[11] F. Smarandache, “Neutrosophic set a generalization of the intuitionistic fuzzy set”, International Journal of Pure and Applied Mathematics. 24, 3, pp. 287-297, 2005. 

[12] F. Smarandache, “A unifying field in logics, Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability”, American Reserch Press, Rehoboth, NM, 1999. 

[13] T. Senapati, M. Bhowmik, M. Pal, “Fuzzy dot subalgebras and fuzzy dot ideals of B-algebra”, Journal of Uncertain System, 8, pp. 22-30, 2014. 

[14] T. Senapati, M. Bhowmik, M. Pal, “Interval-valued intuitionistic fuzzy BG-subalgebras”, The Journal of Fuzzy Mathematics, 20, pp. 707-720, 2012. 

[15] M. Khalid, R. Iqbal, S. Broumi, “Neutrosophic soft cubic subalgebras of G-algebras”, Neutrosophic Sets and Systems, 28, pp. 259-272, 2019.

[16] M. Khalid, B. Y. Jun, M. M. Takallo, N. A. Khalid, “Magnification of MBJ-Neutrosophic translation on G-Algebra”, International Journal of Neutrosophic Science, 2, 1, pp. 27–37, 2020. 

[17] M. Khalid, A. N. Khalid, R. Iqbal, “MBJ-neutrosophic T-ideal on B-algebra”, International Journal of Neutrosophic Science, 1, 1, pp. 24-33, 2020. 

[18] M. Khalid, A. N. Khalid, H. Khalid, S. Broumi, “Multiplicative interpretation of neutrosophic cubic set on B-Algebra”, International Journal of Neutrosophic Science, 1, 1, pp. 58-67, 2020. 

[19] A. Walendziak, “Some axiomation of B-algebras”, Mathematics Slovaca, 56, pp. 301-306, 2006. 

[20] L.A Zadeh, “Fuzzy sets”, Information and control, 8, pp. 338-353, 1965. 

[21] L.A Zadeh, “The concept of a linguistic variable and its application to approximate reasoning”, Information science, 8, pp. 199-249, 1975. 

[22] T. Senapati, C. H. Kim, M. Bhowmik, M. Pal, “Cubic subalgebras and cubic closed ideals of B-algebras”, Fuzzy Information and Engineering, 7, pp. 129-149, 2015.

 

 

 

 


Cite this Article as :
Style #
MLA Mohsin Khalid, Neha Andaleeb Khalid. "A STUDY OF NEUTROSOPHIC CUBIC MN SUBALGEBRA." International Journal of Neutrosophic Science, Vol. 4, No. 2, 2020 ,PP. 93-103 (Doi   :  https://doi.org/10.54216/IJNS.040203)
APA Mohsin Khalid, Neha Andaleeb Khalid. (2020). A STUDY OF NEUTROSOPHIC CUBIC MN SUBALGEBRA. Journal of International Journal of Neutrosophic Science, 4 ( 2 ), 93-103 (Doi   :  https://doi.org/10.54216/IJNS.040203)
Chicago Mohsin Khalid, Neha Andaleeb Khalid. "A STUDY OF NEUTROSOPHIC CUBIC MN SUBALGEBRA." Journal of International Journal of Neutrosophic Science, 4 no. 2 (2020): 93-103 (Doi   :  https://doi.org/10.54216/IJNS.040203)
Harvard Mohsin Khalid, Neha Andaleeb Khalid. (2020). A STUDY OF NEUTROSOPHIC CUBIC MN SUBALGEBRA. Journal of International Journal of Neutrosophic Science, 4 ( 2 ), 93-103 (Doi   :  https://doi.org/10.54216/IJNS.040203)
Vancouver Mohsin Khalid, Neha Andaleeb Khalid. A STUDY OF NEUTROSOPHIC CUBIC MN SUBALGEBRA. Journal of International Journal of Neutrosophic Science, (2020); 4 ( 2 ): 93-103 (Doi   :  https://doi.org/10.54216/IJNS.040203)
IEEE Mohsin Khalid, Neha Andaleeb Khalid, A STUDY OF NEUTROSOPHIC CUBIC MN SUBALGEBRA, Journal of International Journal of Neutrosophic Science, Vol. 4 , No. 2 , (2020) : 93-103 (Doi   :  https://doi.org/10.54216/IJNS.040203)