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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 60 | Number 3 | Year 2018 | Article Id. IJMTT-V60P524 | DOI : https://doi.org/10.14445/22315373/IJMTT-V60P524

Intuitionistic L-Fuzzy Bi-ideals of a Ring


KE.Sathappan, R.Sumathi
Abstract

In this paper the notion of intuitionistic L-fuzzy bi-ideal of a ring are defined and discussed. Some of their Properties are studied.

Keywords
 Intuitionistic fuzzy set, Intuitionistic L-fuzzy subring, Intuitionistic fuzzy bi-ideal, Intuitionistic L-fuzzy bi-ideal.
References

[1] K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy sets and Systems 20,(1986),87-96.
[2] K.T Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy sets, and systems 61(1994)137-142.
[3] Kuroki, N., “On fuzzy ideals and fuzzy bi-ideals in Semigroups”,Fuzzy sets and systems 5(1981),203-215.
[4] J.A.Gouguen, L-fuzzy sets, Journal of Mathematical Analysis and Applications, vol.18(1967),145-174.
[5] L.A. Zadeh, Fuzzy sets, Information and control.,vol.8 338-353,(1965).
[6] W. Liu, Fuzzy invariant subgroups and fuzzy ideals fuzzy sets and systems,8(1982)133-139.
[7] S.K. Datta,”On Bi-ideals and Fuzzy Bi-ideals of Rings”,M.phil. Thesis, Under the guidence of Professor TapanDatta, Department of Pure Mathematics, University of Calcutta (1997).
[8] K. Hur, H.W. Kang and H.K Song,”Intuitionistic fuzzy subgroups and subrings”, Honam Math J.25(1),2003,19- 41.
[9] K.Hur, S.Y.Jang, and H.W. Kang,“Intuitionistic fuzzy ideals of a ring”, Journal of the Korea Society of Mathematical Education. Series B,vol.12,no.3,pp.193- 209,2005.
[10] K.Meena and K.V Thomas, “Intuitionistic L-fuzzy Subrings”, International Mathematical Forum, Vol.6,2011,no.52,2561-2572.

Citation :

KE.Sathappan, R.Sumathi, "Intuitionistic L-Fuzzy Bi-ideals of a Ring," International Journal of Mathematics Trends and Technology (IJMTT), vol. 60, no. 3, pp. 155-160, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V60P524

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