Smarandache N-subalgebras(resp. filters) of CI-algebras

Rezaei, Akbar; Saeid, Arsham Borumand

doi:10.2478/awutm-2014-0018

Abstract

In this paper, we introduce the notions of N- subalgebras and N-filters based on Smarandache CI-algebra and give a number of their properties. The relationship between N(Q; f)-subalgebras(filters) and N-subalgebras(filters) are also in- vestigated

References

[1] R. A. Borzooei A. Borumand Saeid A. Rezaei and R. Ameri, Anti fuzzy filter on CI-algebras, Afr. Math., 25 (4), (2014), 1197-121010.1007/s13370-013-0183-1
Search in Google Scholar
[2] A. Borumand Saeid and A. Rezaei, Smarandache n-Structure on CI-algebras, Results. Math., 63, (2012), 209-21910.1007/s00025-011-0189-7
Search in Google Scholar
[3] Y. Imai and K. Iseki, On axiom systems of propositional Calculi, XIV proc. Jpn. Academy, 42, (1966), 19-2210.3792/pja/1195522169
Search in Google Scholar
[4] K. H. Kim, A Note On CI-Algebras, Int. Math. Forum, 6 (1), (2011), 1-5
Search in Google Scholar
[5] H. S. Kim and Y. H. Kim, On BE-algebras, Sci. Math. Jap., 66 (1), (2007), 113-117
Search in Google Scholar
[6] K. J. Lee and S. Z. Song Y. B. Jun, N-ideals of BCK=BCI-algebras, J. Chungcheong Math. Soc., 22, (2009), 417-437
Search in Google Scholar
[7] K. J. Lee and S. Z. Song Y. B. Jun, N-ideals of subtraction algebras, Common. Korean Math. Soc., 25 (2), (2010), 173-18410.4134/CKMS.2010.25.2.173
Search in Google Scholar
[8] K. J. Lee and Y. B. Jun, N-subalgebras and N-ideals based on a sub BCK-algebra of a BCI-algebras, Commun. Korean Math. Soc., 27 (2), (2012), 645-65110.4134/CKMS.2012.27.4.645
Search in Google Scholar
[9] B. L. Meng, CI-algebra, Sci. Math. Jpn., 71 (1), (2010), 695-701
Search in Google Scholar
[10] B. Piekart and A. Walendziak, On filters and upper sets in CI-algebras, Algebra and Discrete Math., 11 (1), (2011), 109-115
Search in Google Scholar
[11] T. Priya and T. Ramachandran, Anti fuzzy ideals of CI-algebras and its lower level cuts, Int. j. of Math. Arc., 3 (7), (2012), 2524-2529
Search in Google Scholar
[12] A. Rezaei and A. Borumand Saeid, On fuzzy subalgebras of BE-algebras, Afr. Math., 22, (2011), 115-12710.1007/s13370-011-0011-4
Search in Google Scholar
[13] A. Rezaei and A. Borumand Saeid, Fuzzy congruence relation in CI-algebras, Neural Computing and Application, 21 (1), (2012), 115-12710.1007/s00521-012-0908-3
Search in Google Scholar
[14] A. Rezaei and A. Borumand Saeid, N-subalgebras and N-Filters in CI-algebra, \Vasile Alecsandri" University of Bacfiau, Faculty of Sciences, Scientific Studies and Research, Series Mathematics and Informatics, 22 (1), (2012), 103-116
Search in Google Scholar
[15] L. A. Zadeh, Fuzzy sets, Inform. and Control, 8, (1965), 338-353 10.1016/S0019-9958(65)90241-X
Search in Google Scholar

Smarandache N-subalgebras(resp. filters) of CI-algebras

Abstract

Paradigm

My account