Korean J. Math. Vol. 29 No. 3 (2021) pp.563-576
DOI: https://doi.org/10.11568/kjm.2021.29.3.563

Intuitionistic fuzzy PMS-subalgebra of a PMS-algebra

Main Article Content

Beza Lamesgin Derseh
Berhanu Assaye Alaba
Yohannes Gedamu Wondifraw

Abstract

In this paper, we introduce the notion of intuitionistic fuzzy PMS-subalgebra of a PMS-algebra. The idea of level subsets of an intuitionistic fuzzy PMS-subalgebra of a PMS-algebra is introduced. The relation between intuitionistic fuzzy sets and their level sets in a PMS-algebra is examined, and some interesting results are obtained.



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References

[1] M. Akram, Bifuzzy ideals of K-algebras, Transactions on Mathematics, 7 (2008), 313–322. Google Scholar

[2] K. T. Atanassov Intuitionistic Fuzzy sets, Fuzzy Sets and Systems, (1983). Google Scholar

[3] K. T. Atanassov, Intuitionistic Fuzzy sets, Fuzzy Sets and Systems 20 (1) (1986), 87–96. Google Scholar

[4] K. T. Atanassov, New operations defined over the Intuitionistic fuzzy sets, Fuzzy Sets and Systems,61 (2) (1994), 137–142. Google Scholar

[5] M. Chandramouleeswaran, P. Muralikrishna, On Intuitionistic L-Fuzzy Subalgebras of BG-algebras, InInternational Mathematical Forum, 5(20),(2010), 995–1000. Google Scholar

[6] M. Chandramouleeswaran, P. Muralikrishna, The Intuitionistic L-Fuzzy Subalgebras of BF- algebras, IGlobal J. Pure Appl. Math, 6 (1) (2010), 1–6. Google Scholar

[7] Y. Imai and K. Iseki, On axiom systems of propositional calculi XIV1, Proceedings of the Japan Academy,42 (1966), 19–22. Google Scholar

[8] K. Iseki, On BCI-algebras, In Math. Seminar Notes, 8 (1980), 125–130. Google Scholar

[9] Y.H. Kim, T.E. Jeong, Intuitionistic fuzzy structure of B-algebras, Journal of applied mathematics and computing, 22 (1) (2006), 491–500. Google Scholar

[10] A. Rosenfeld, Fuzzy groups, Journal of mathematical analysis and applications, 35 (3) (1971), 512–517. Google Scholar

[11] P.M. Sithar Selvam, K.T. Nagalakshmi, Fuzzy PMS-ideals in PMS-algebras, Annals of Pure and Applied Mathematics, 12 (2), (2016), 153–159. Google Scholar

[12] P.M. Sithar Selvam, K.T. Nagalakshmi, On PMS-algebras, Transylvanian Review, 24 (10),(2016), 1622–1628. Google Scholar

[13] T. Senapati, M. Bhowmik, M. Pal, K.P. Shum, Characterization of intuitionistic fuzzy BG- subalgebras of BG-algebras, Journal of Discrete Mathematical Sciences and Cryptography,17 (21)(7-8) (2018), 1549–1558. Google Scholar

[14] T. Senapati, M. Bhowmik, M. Pal, Intuitionistic fuzzifications of ideals in BG-algebras, Mathematica Aeterna, 2(9),(2012), 761–78. Google Scholar

[15] L.A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338–353. Google Scholar

[16] A. Zarandi, A. B. Saeid, Intuitionistic Fuzzy Ideals of BG-Algebras, world Academy of Science, Engineering and Technology, 5 (2005), 187–189. Google Scholar