1
Department of Mathematics, H. H. The Rajah’s college, Affiliated by Bharathidasan University, Tiruchirappalli, Pudukkottai-622-001, Tamil Nadu, India.
(rajiboomi1986@gmail.com)
2
Department of Mathematics, H. H. The Rajah’s college, Affiliated by Bharathidasan University, Tiruchirappalli, Pudukkottai-622-001, Tamil Nadu, India.
(balamohitha@gmail.com)
3
Arignar Anna Government Arts College, Namakkal - 637 002, India; Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India.
(avmaths@gmail.com)
Abstract :
This work presents the concept of interval-valued neutrosophic INK-subalgebras, also known as IV N INKsubalg’s, which are the level and strong level neutrosophic INK-subalgebras. Next, we establish and validate a few theorems that establish the connection between these concepts and neutrosophic INK-subalgebras. We define the images and inverse images of IV N INK-subalgebras and study the transformations of the homomorphic images and inverse images of interval valud neutrosophic (briefly, IV N) INK-subalgebra into IV N INK-subalgebras.
Keywords :
interval valued neutrosophic set; neutrosophic INK-subalgebra and interval valued neutrosophic INK-subalgebra.
References :
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[3] Kaviyarasu, M.; Indhira, K.; Chandrasekaran, V. M. Introduction on INK-algebras. International Journal of Pure and Applied Mathematics 2017, Vol 115 (9), pp 1-10.
[4] Kaviyarasu, M.; Indhira, K.; Chandrasekaran, V. M.; Jocob Kavikumar, Interval-valued fuzzy subalgebra and fuzzy INK-Ideal in INK-algebra. Advances in Algebra and Analysis, Trends in Mathematics, https://doi.org/10.1007/978-3-030-01120-8 3.
[5] Kaviyarasu, M.; Indhira, K. Fuzzy translation on INK-algebra. Jour of Adv Reserch in Dynamical & Control Systems 2019, Vol 11 (10) (SI), pp 938-943.
[6] Kaviyarasu, M.; Indhira, K.; Chandrasekaran, V. M., Neutrosophic set in INK-algebra. Advances in Mathematics: Scientific Journal 2020, Vol 9 (7), pp 4345-4352.
[7] Mostafa, S. M. Fuzzy implicative ideal in BCK-algebras. Fuzzy Sets and Systems 1997. https://doi.org/S0168-0114 (96) 00017-6
[8] Neggers, J.; Kim, H. S. On d-algebras. Math. Slovaca 1999, Vol 49, pp 19-26.
[9] Sung Min Hong; Young Bae Jun, Anti fuzzy ideals in BCK-algebras. Kyungpook Math. J. 1998, Vol 38, pp 145-150.
[10] Zadeh, L. A. Fuzzy sets. Information and Control 1965, Vol 8. Available via Dialog https: //doi.org/10.1016/ S0019-99581 (65) 90241-X, cited 30 June 1965.
| Style | # |
|---|---|
| MLA | R. Rajakumari, KR. Balasubramanian, A. Vadivel. "Interval Valued Neutrosophic Subalgebra in INK-Algebra." International Journal of Neutrosophic Science, Vol. 24, No. 1, 2024 ,PP. 51-64 (Doi : https://doi.org/10.54216/IJNS.240105) |
| APA | R. Rajakumari, KR. Balasubramanian, A. Vadivel. (2024). Interval Valued Neutrosophic Subalgebra in INK-Algebra. Journal of International Journal of Neutrosophic Science, 24 ( 1 ), 51-64 (Doi : https://doi.org/10.54216/IJNS.240105) |
| Chicago | R. Rajakumari, KR. Balasubramanian, A. Vadivel. "Interval Valued Neutrosophic Subalgebra in INK-Algebra." Journal of International Journal of Neutrosophic Science, 24 no. 1 (2024): 51-64 (Doi : https://doi.org/10.54216/IJNS.240105) |
| Harvard | R. Rajakumari, KR. Balasubramanian, A. Vadivel. (2024). Interval Valued Neutrosophic Subalgebra in INK-Algebra. Journal of International Journal of Neutrosophic Science, 24 ( 1 ), 51-64 (Doi : https://doi.org/10.54216/IJNS.240105) |
| Vancouver | R. Rajakumari, KR. Balasubramanian, A. Vadivel. Interval Valued Neutrosophic Subalgebra in INK-Algebra. Journal of International Journal of Neutrosophic Science, (2024); 24 ( 1 ): 51-64 (Doi : https://doi.org/10.54216/IJNS.240105) |
| IEEE | R. Rajakumari, KR. Balasubramanian, A. Vadivel, Interval Valued Neutrosophic Subalgebra in INK-Algebra, Journal of International Journal of Neutrosophic Science, Vol. 24 , No. 1 , (2024) : 51-64 (Doi : https://doi.org/10.54216/IJNS.240105) |