On a Fuzzy Completely Closed Filter with Respect of Element in a BH-algebra
DOI:
https://doi.org/10.24203/ajas.v5i2.4749Keywords:
fuzzy completely closed filter with respect of an element, BH-algebra, fuzzy filter, fuzzy ideal, fuzzy completely closed filter and fuzzy completely closed filter.Abstract
In this paper, we introduce a new notion that we call a fuzzy completely closed filter with respect of an element in a BH-algebra, and we link this notion with notions filter and ideal of BH- algebra, We give some properties of fuzzy completely closed filter with respect of an element and we study properties of it.References
A. B. Saeid, A. Namdar and R.A. Borzooei, "Ideal Theory of BCH-Algebras", World Applied Sciences Journal 7 (11): 1446-1455, 2009.
A. B. Saeid and M. A. Rezvani "On Fuzzy BF-algebras ", International Journal of Fuzzy System, Vol. 4,No. 1,13-25, 2009.
B. Ahmad, "On classification of BCH-algebras", Math. Japonica 35, no. 5, 801–804, 1990.
C. B. Kim and H. S. Kim, "On BG-algebras", Demonstratio Mathematica, Vol.XLI, No 3, 2008.
C. H. Park, "Interval-valued fuzzy ideal in BH-algebras", Advance in fuzzy set and systems 1(3), 231–240, 2006.
C. Lele, C. Wu and T. Mamadou, "Fuzzy Filters in BCI-algebras", IJMMS, 29:1, 47-54, 2002.
C. S. Hoo, "Filters and ideals in BCI-algebra, Math. Japonica 36, 987-997, 1991.
D. Dubois and H. Prade, "FUZZY SETS AND SYSTEMS", ACADEMIC PRESS. INC. (London) LTD., ACADEMIC PRESS. INC. fifth Avenue, New York, 1980.
H. H. Abass and H. A. Dahham," Some Types of Fuzzy Ideal With Respect To an Element Of a BG-Algebra" Msc. Thesis Kufa university ,2012.
H. H. Abass and H. M. A. Saeed, "The Fuzzy Closed Ideal With Respect To An Element Of a BH-Algebra", Kufa University, Msc thesis, 2011.
J. Neggers and H. S. Kim, "On B-algebras", Mate Vesnik, 54, 21-29, 2002.
L. A. Zadeh, “Fuzzy Sets", Information and control, Vol. 8, PP. 338-353, 1965.
O. G. Xi, "Fuzzy BCK-algebra", Math. Japonica 36, no. 5, 935–942, 1991.
Q. Zhang, E. H. Roh and Y. B. Jun, "On fuzzy BH-algebras", J. Huanggang, Normal Univ. 21(3), 14–19, 2001.
Y. B. Jun and J. Meng, "Fuzzy p-ideals in BCI-algebras", Math. Japon, 40, 271-282, 1994.
Y. B. Jun, "characterization of fuzzy ideal by their level ideals in BCK(BCI)-algebra", Math. Japon., 38, 67-71, 1993.
Y. B. Jun, "Closed fuzzy ideals in BCI-algebras", Math. Japon.ica 38, no. 1, 199–202, 1993.
Y. B. Jun, "Fuzzy closed ideals and fuzzy filters in BCH-algebras", J. Fuzzy Math. 7 , no. 2, 435–444, 1999.
Y. B. Jun, E. H. Roh and H. S. Kim, "0n Fuzzy B-algebras", Czechoslovak Mathematical Journal. Japan, 52(127), 375-384, 2002.
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