Neutrosophic equivalence relation applied onincline algebra

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-5281

Keywords:

Incline algebra, neutrosophic set, neutrosophic subincline, equivalence relation, chain condition

Abstract

Researchers have great interest in working in the fields of fuzzy algebra and its substructure. Nowadays, the work on fuzzy algebra has attained the greatest height. Considering the incline algebra in this study, the concept of the neutrosophic equivalence relation in incline algebra and its related properties are introduced. Furthermore, the characteristic function and chain conditions are also analyzed, with some results.

Author Biography

Prakasam Muralikrishna, Muthurangam Government Arts College (Autonomous).

Department of Mathematics.

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.

Cao, Z.Q., Kim, K.H., Roush, F.W., Incline Algebras and applications, Ellis Horwood, Chicheater, England and Wiley, New York, (1984).

Cao.Z., A new algebraic system - slope, B usefal 6(1)(1981), 22-27.

Chakraborty, M.K., Das, M., On fuzzy equivalences I, Fuzzy sets and systems, 11 (1983), 185 - 193.

Chakraborty, M.K., Das, M., On fuzzy equivalences II, Fuzzy sets and systems, 12 (1983), 299 - 307.

Hasankhani, A., Talaie, M., Zahedi, M.M., Fuzzy congruence relations on BCK - algebras, J. Fuzzy Math, 6 (1998).

Jun, Y.B., Ahn, S.S., Kim, H.S., Fuzzy Subincline(Ideals) of Incline Algebras, Fuzzy Sets and Systems , bf 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.

Liu, L.L., Fu, W.Q., and Li, S.G., The order aspects of fuzzy subinclines, fuzzy equivalence relations and fuzzy coonfruence relations, Fuzzy systems and Mathemations, 25(5), (2011) 43 - 49.

Liu, L.L., Fu, W.Q., and Li, S.G., Characterizations of fuzzy subinclines, fuzzy ideals, fuzzy filters and fuzzy congruence reltions, Journal of Shandong University, 46(11), (2011) 48 - 52.

Murali, V., Fuzzy equivalence relations, Fuzzy sets and systems, 30(1989) 155 - 163.

Murali, V., Fuzzy Congruence relations, Fuzzy sets and systems, 41(1991) 359 - 369.

Muralikrishna, P., Surya, M., Neutrosophic Sets Applied on Incline Algebraic Strutures, Iranian Journal of Mathematical Sciences and Informatics [Submitted].

Rosenfeld. A., Fuzzy groups [J], Journal of Mathematical Analysis & Applications, 35 (1971), 512 - 217.

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

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

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

Yuan, B., Wu, W., Fuzzy ideals on a distributive lattice, Fuzzy sets and systems 35 (1990) 231- 240.

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

Published

2024-05-26

How to Cite

[1]
P. Muralikrishna and S. . Manokaran, “Neutrosophic equivalence relation applied onincline algebra”, Proyecciones (Antofagasta, On line), vol. 43, no. 3, pp. 775-791, May 2024.

Issue

Vol. 43 No. 3 (2024)

Section

Artículos

Copyright (c) 2024 Muralikrishna Prakasam, Surya M

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

  • No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.