548 531
Full Length Article
International Journal of Neutrosophic Science
Volume 20 , Issue 1, PP: 119-127 , 2023 | Cite this article as | XML | Html |PDF

Title

Direct Product of Neutrosophic h-ideal in INK-Algebra

  Kaviyarasu M. 1 * ,   Rajeshwari M. 2

1  Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Avadi, Chennai, Tamil Nadu 600062.India
    (kavitamilm@gmail.com)

2  Department of Mathematics, School of Engineering, Presidency University, Bangalore, India
    (rajeakila@gmail.com)


Doi   :   https://doi.org/10.54216/IJNS.200110

Received: July 18, 2022 Accepted: December 21, 2022

Abstract :

In this paper, “we first define the belief of direct product from neutrosophic sets in INK algebras, neutrosophic set, neutrosophic h-ideals, neutrosophic INK-subalgebra and direct product of neutrosophic h-ideals in INK algebras. Let's prove some theorems that show that there is some connection between these principles. Finally, we define the INK subalgebra of the INK algebra and then offer the ideal theorem approximately the connection between its pix and the direct product from the neutrosophic h-ideals.

Keywords :

INK-algebra; the direct product of neutrosophic INK-sub algebra; direct product of neutrosophic h-ideal.

References :

[1]  Smarandache, Ƒ., Neutrosophic set a generalizations of the intuitionistic fuzzy sets. inter. J. Pure 

Appl. Math., 24, 287 – 297, 2005.

[2]  Atanassov, K. Intuitionistic Fuzzy sets. Fuzzy Sets and Systems, 1986, 20(1), 87-96.

[3]   Jun, Y.B.  Neutrosophic  sub  algebras of several  Types  in BCK/BCƖ-algebras. Annals of  Fuzzy

Mathematics. information, 2017, 14(1), 75–86.

[4]  Songsaeng, M.;  Ɩampan, A.  Neutrosophic  Set  Theory Applied  to UP-Algebra. European Journal 

of Pure and Applied Mathematics.. 2019, 12(4), 1382-1409.

[5]  Jun,  Y.  B.;  Smarandache,  Ƒ.;  Bordbar.  H.  Neutrosophic  N-structures  applied  to  BCK/BCƖ-algebras, intormation. 2017, 8(4),128.

[6]  Jun, Y. B.; Smarandache, F.; Song, S-Z.; Khan, M. Neutrosophic positive implicative N-ideals in 

BCK-algebras. Axioms, 2018, 7(1), 3.

[7]  Zadeh, L. A. Fuzzy sets, information control. 1965, 8, 338-353.

[8]  Ozturk,  M.  A.;  Jun,  Y.  B.  Neutrosophic  ideals  Ɩn  BCK/BCƖ-algebras  based  on  neutrosophic

poƖnƮs, Journal of the international Mathematical Virtual institute, 2018, 8, 1–17.

[9]  Kaviyarasu,  M.;  Indhira,  K.;  Chandrasekaran,  V.M.  Fuzzy  p-ideal  in  INK-algebra,  Journal  of  XI'an 

University of Architecture & Technology, 2018, 12 (3), 4746-4752.

[10]  Kaviyarasu, M.; Indhira, K.; Chandrasekaran, V.M. Intuitionistic fuzzy translation on INK -Algebra, 

Advances in Mathematics: Scientific Journal, 2020, 9 (1), 295–303.

[11]  Kaviyarasu, M.; Indhira, K.; Chandrasekaran, V.M. Direct product of intuitionistic fuzzy INK-ideals of 

ĮNK-algebras,  Material  Today:  Proceedings,  2019,  16  (2),  449-455. 

doĮ.org/10.1016/j.matpr.2019.05.114.

[12]  Kaviyarasu, M.; Indhira, K.; Chandrasekaran, V.M. Neutrosophic set in INK-Algebra,  Advances in 

Mathematics: Scientific Journal, 2020, 9 (7), 4345-4352.

[13]  Kaviyarasu, M.;  Indhira, K.;  Chandrasekaran, V.M. Fuzzy sub  algebras and fuzzy INK-ideals in INKalgebras, International Journal of Pure and Applied Mathematics, 2017, 113(6), 47-55.

[14]  Kaviyarasu, M;  Indhira, K. Review on BCI/BCK-algebras and development,  International Journal of 

Pure and Applied Mathematics, 2017, 117(11), 377-383.

[15]  Florentin Smarandache, NeutroAlgebra is a Generalization of Partial Algebra, International Journal of 

Neutrosophic Science, Vol. 2, No. 1 , (2020) : 08-17 

[16]  Smarandache,  F.  Introduction  to  Neutro  Algebraic  Structures  and  Anti  Algebraic  Structures, 

Neutrosophic Sets and Systems, 2020, 31, 1-16.

[17]  Salama, A. A., Smarandache, F., & Kroumov, V.,  Neutrosophic  crisp Sets & Neutrosophic  crisp 

Topological Spaces. Sets and Systems, 2(1), 25-30, 2014. 

[18]  iorgio Nordo , Arif Mehmood , Said Broumi, Single Valued Neutrosophic Filters, International Journal 

of Neutrosophic Science, Vol. 6 , No. 1 , (2020) : 08-21 

[19]  R.Jayasudha.  (2018).  On  intuitionistic  fuzzy  P-ideals  and  H-ideals  in  BCI-Algebras,  International 

Journal of Engineering Science Invention, 07(03), 56-62.


Cite this Article as :
Style #
MLA Kaviyarasu M., Rajeshwari M.. "Direct Product of Neutrosophic h-ideal in INK-Algebra." International Journal of Neutrosophic Science, Vol. 20, No. 1, 2023 ,PP. 119-127 (Doi   :  https://doi.org/10.54216/IJNS.200110)
APA Kaviyarasu M., Rajeshwari M.. (2023). Direct Product of Neutrosophic h-ideal in INK-Algebra. Journal of International Journal of Neutrosophic Science, 20 ( 1 ), 119-127 (Doi   :  https://doi.org/10.54216/IJNS.200110)
Chicago Kaviyarasu M., Rajeshwari M.. "Direct Product of Neutrosophic h-ideal in INK-Algebra." Journal of International Journal of Neutrosophic Science, 20 no. 1 (2023): 119-127 (Doi   :  https://doi.org/10.54216/IJNS.200110)
Harvard Kaviyarasu M., Rajeshwari M.. (2023). Direct Product of Neutrosophic h-ideal in INK-Algebra. Journal of International Journal of Neutrosophic Science, 20 ( 1 ), 119-127 (Doi   :  https://doi.org/10.54216/IJNS.200110)
Vancouver Kaviyarasu M., Rajeshwari M.. Direct Product of Neutrosophic h-ideal in INK-Algebra. Journal of International Journal of Neutrosophic Science, (2023); 20 ( 1 ): 119-127 (Doi   :  https://doi.org/10.54216/IJNS.200110)
IEEE Kaviyarasu M., Rajeshwari M., Direct Product of Neutrosophic h-ideal in INK-Algebra, Journal of International Journal of Neutrosophic Science, Vol. 20 , No. 1 , (2023) : 119-127 (Doi   :  https://doi.org/10.54216/IJNS.200110)