On \(BF\)-semigroups and Fuzzy \(BF\)-semigroups
Volume 20, Issue 4, pp 325--333
http://dx.doi.org/10.22436/jmcs.020.04.06
Publication Date: March 05, 2020
Submission Date: July 16, 2019
Revision Date: February 06, 2020
Accteptance Date: February 10, 2020
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Authors
Mae Manahon
- Mathematics Department, Negros Oriental State University, Dumaguete City, Philippines.
Jenette Bantug
- Mathematics Department, Silliman University, Dumaguete City, Philippines.
Joemar Endam
- Department of Mathematics, Negros Oriental State University, Dumaguete City, Philippines.
Abstract
We introduce and establish the notion of \(BF\)-semigroups. We construct quotient \(BF\)-semigroups via \(BF\)-ideals and we investigate homomorphisms of \(BF\)-semigroups and establish the isomorphism theorems for \(BF\)-semigroups. Moreover, we apply the concept of fuzzy sets to \(BF\)-semigroups.
Share and Cite
ISRP Style
Mae Manahon, Jenette Bantug, Joemar Endam, On \(BF\)-semigroups and Fuzzy \(BF\)-semigroups, Journal of Mathematics and Computer Science, 20 (2020), no. 4, 325--333
AMA Style
Manahon Mae, Bantug Jenette, Endam Joemar, On \(BF\)-semigroups and Fuzzy \(BF\)-semigroups. J Math Comput SCI-JM. (2020); 20(4):325--333
Chicago/Turabian Style
Manahon, Mae, Bantug, Jenette, Endam, Joemar. "On \(BF\)-semigroups and Fuzzy \(BF\)-semigroups." Journal of Mathematics and Computer Science, 20, no. 4 (2020): 325--333
Keywords
- \(BF/BF_1/BF_2\)-semigroup
- sub \(BF\)-semigroup
- \(BF\)-ideal
- quotient \(BF\)-semigroup
- fuzzy sub \(BF\)-semigroup
MSC
References
-
[1]
A. Borumand Saeid, M. A. Rezvani, On Fuzzy $BF$-algebras, Int. Math. Forum, 4 (2009), 13--25
-
[2]
J. C. Endam, J. P. Vilela, Homomorphism of $BF$-algebras, Math. Slovaca, 64 (2014), 13--20
-
[3]
A. R. Hadipour, Generalized Fuzzy $BF$-algebras, Sci. Magna, 5 (2009), 39--53
-
[4]
Y. B. Jun, E. H. Roh, H. S. Kim, On $BH$-algebras, Sci. Math., 1 (1998), 347--354
-
[5]
C. B. Kim, H. S. Kim, On $BG$-algebras, Demonstratio Math., 41 (2008), 497--505
-
[6]
K. H. Lee, First Course on Fuzzy Theory and Applications, Springer-Verlag, Berlin (2005)
-
[7]
A. Walendziak, On BF-algebras, Math. Slovaca, 57 (2007), 119--128
-
[8]
L. A. Zadeh, Fuzzy sets, Inf. Control, 8 (1965), 338--353