Single Valued Neutrosophic Ideals of
BCK-Algebras

J. Martina Jency; I. Arockiarani

doi:https://doi.org/10.14445/22315373/IJMTT-V39P502

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 39 | Number 1 | Year 2016 | Article Id. IJMTT-V39P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V39P502

Single Valued Neutrosophic Ideals of BCK-Algebras

J. Martina Jency, I. Arockiarani

Abstract

The focus of this paper is to present Single valued neutrosophic ideals of a BCK-algebras, give some results on the single valued neutrosophic implicative ideals, single valued neutrosophic positive implicative ideals, single valued neutrosophic commutative ideals

Keywords

Single valued neutrosophic sub-algebra, Single valued neutrosophic ideal, Single valued neutrosophic positive implicative ideal, single valued neutrosophic commutative ideal.

References

[1] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1), 1986,87-96.
[2] FlorentinSmarandache,Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy ,Neutrosophic Logic , Set, Probability, and Statistics University of New Mexico, Gallup, NM 87301, USA(2002).
[3] FlorentinSmarandache, Neutrosophic set, a generalization of the intuitionistic fuzzy sets, Inter.J.PureAppl.Math., 24,2005,287-297.
[4] Haibin Wang, Florentin Smarandache, Yanqing Zhang, Rajshekhar Sunderraman, Single valued neutrosophic sets. Technical sciences and applied Mathematics, 2012, 10-14.
[5] Iséki, K. "An algebra related with a propositional calculus", Proc. Japan Acad. Ser. A, Math. Sci., 42: (1966), 26–29,
[6] K. Iseki, S. Tanaka, An introduction to the theory of BCK-algebras, Mathematica Japonicae 23 (1978), pp. 1–26.
[7] Jun Y. B, A note on fuzzy ideals in BCK-algebras, Fuzzy Math., 5(1) (1995), 333-335.
[8] Y. B. Jun, S. M. Hong, S. J. Kim, and S. Z. Song, Fuzzy ideals and fuzzy sub-algebras of BCKalgebras, J. Fuzzy Math. 7 (1999), no. 2, 411–418.
[9] Y. B. Jun and E. H. Roh, Fuzzy commutative ideals of BCK-algebras, Fuzzy Sets and Systems 64 (1994), no. 3, 401–405.
[10] Y.B. Jun and K.H. Kim, Intuitionistic fuzzy ideals of BCK-algebras, Internat. J. Math. and Math. Sci., 24(12) (2000), 839-849.
[11] J. Meng, Y. B. Jun, and H. S. Kim, Fuzzy implicative ideals of BCK-algebras, Fuzzy Sets and Systems 89 (1997), no. 2, 243–248.
[12] Zadeh L. A, Fuzzy sets, Information and Control, 8(1965), 338-353.

Citation :

J. Martina Jency, I. Arockiarani, "Single Valued Neutrosophic Ideals of BCK-Algebras," International Journal of Mathematics Trends and Technology (IJMTT), vol. 39, no. 1, pp. 8-17, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V39P502