Study of Neutrosophic Magnified Translation on Incline Algebra

Surya Manokaran (1) , Muralikrishna Prakasam (2)
(1) Department of Mathematics, Muthurangfam Govt. Arts College (A), India,
(2) Department of Mathematics, Muthurangfam Govt. Arts College (A), India

Abstract

The concept of magnified translation is studied in Neutrosophic set which is a segregation of mf (membership function) is known as t(truth)mf, i(indeterminate)mf, and f(falsity)mf which has been applied in incline algebra sub - structures and raises with a name called neutrosophic incline substructures are interlinked with the new frame of (nmt) neutrosophic magnified translation. Further, some more engrossing outputs such as homomorphic image, preimage and cartesian product on this neutrosophic magnified translation of incline substructure are investigated.

Full text article

Generated from XML file

References

Ahn, S.S., Jun, Y.B., Kim, H.S., Ideals and Quotients of Incline Algebras, Comm. Koren Math. Soc. , 16(4) (2001), 573 - 583.

Arvinda Raju, V., A Note on Incline Algebras, International Journal of Mathematical Archive, 8(9) (2017), 154 - 157.

Atanassov, K.T., Intuitionistic fuzzy sets, Fuzzy sets and systems, 20(1) (1986), 87 - 96.

Chandramouleeswaran, M., Muralikrishna, P and Srinivasan, S., Fuzzy translation and fuzzy multiplication in BF/BG - algebras, Indian Journal of Science and Technology, 6(9)(2013) 5216 - 5219.

Dutta, A. K., Barbhuiya, S. R and Dutta Choudhury, K., Translation and multiplications of cubic subalgebras and cubic ideals of BCK/BCI - algebras, Sohang Journal of Mathematics, 4(3) (2017) 75 - 86.

Jun, Y.B., Ahn, S.S, Kim, Fuzzy Subincline(Ideals) of Incline Algebras, Fuzzy Sets and Systems , 123 (2001), 217 - 255

Kim, K.H., Roush, F.W., Inclines of algebraic structures, Fuzzy Sets and Systems, 72 (1995), 189 - 196.

Kim, K.H., Roush, F.W., Markowsky, G., Representation of Incline Algebras, Algebra Coll, 4 (1997), 461-470.

Khalid, M., Smarandache, F., Khalid, N. A and Broumi, S., Translation and multiplicative interpretation of Neutrosophic cubic set, Neutrosophic Sets and Systems, 35, (2020).

Lee, K. J., Jun, Y. B and Dohi, M. I., Fuzzy translation and fuzzy multiplications of BCI/BCK - algebra. Commun. Korean Math. Soc, 24(3) (2009) 353 - 360.

Rosenfeld, A., Fuzzy Groups, Journal of Mathematical Analysis and Applications, 35(3) (1971) 512 - 517.

Smarandache, F., Neutrosophic Set, A generalization of Intuitionistic fuzzy sets, International Journal of Pure and Applied Mathematics, 24(5), (2005) 287 - 297.

Surya.M., P.Muralikrishna., Applications of MBJ - Neutrosophic Set on Filters of Incline algebras, International Journal of Neutrosophic Sciences, 19, (2022).

Volety, V.S., Ramachandram, On some properties of Inclines, Journal of Science & Arts, 1(18) (2012), 13 - 16.

Zadeh, L.A., Fuzzy Sets, Information and Control 8(3) (1965), 338 - 353.

Authors

Surya Manokaran
suryamano95@gmail.com (Primary Contact)
Muralikrishna Prakasam
Manokaran, S., & Prakasam, M. (2023). Study of Neutrosophic Magnified Translation on Incline Algebra. Journal of the Indonesian Mathematical Society, 29(1), 125–134. https://doi.org/10.22342/jims.29.1.1263.125-134

Article Details