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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 53 | Number 4 | Year 2018 | Article Id. IJMTT-V53P535 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P535

Normalization of Fuzzy B – Ideals in B – Algebra


Dr. A. Prasanna, M. Premkumar, Dr. A. Solairaju
Abstract

In this paper, we define a normal fuzzy B – sub algebra, normal fuzzy B – ideal and discuss some of their properties.

Keywords
B–algebra, B–Ideal, Fuzzy B–Ideal, Normal fuzzy B – sub algebra, Normal fuzzy B-ideal.
References

[1] Biswas R, Fuzzy Subgroups and Anti Fuzzy Subgroups, Fuzzy Sets and Systems,35, (1990), 121-124.
[2] Jung R Cho and Kim H S, On B-algebras and quasi-groups, Quasi-groups and related systems 8 (2001), 1-6.
[3] Park H K and Kim H S, On quadratic B-algebras, Quasi-groups and related systems 8 (2001), 67-72.
[4] Priya T and Ramachandran T, Normalization of fuzzy PS-ideals and fuzzy BG-sub-algebras of PS- algebras, Research journal of Mathematics 4(2014), 1-12.
[5] Sun Shin Ahn and Keumseong Bang, On Fuzzy Sub-algebras in B-algebras, Commun. Korean Math. Soc. 18 (2003),429-437.
[6] Yamini C and Kailasavalli S, Fuzzy B-ideals on B-algebras, International Journal of Mathematical Archive 5(2014), 227-233.
[7] Zadeh L A, Fuzzy Sets, Information Control, 8(1965),338-353.

Citation :

Dr. A. Prasanna, M. Premkumar, Dr. A. Solairaju, "Normalization of Fuzzy B – Ideals in B – Algebra," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 4, pp. 277-283, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P535

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