| Title:
|
On fuzzy $B$-algebras (English) |
| Author:
|
Jun, Young Bae |
| Author:
|
Roh, Eun Hwan |
| Author:
|
Kim, Hee Sik |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
52 |
| Issue:
|
2 |
| Year:
|
2002 |
| Pages:
|
375-384 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The fuzzification of (normal) $B$-subalgebras is considered, and some related properties are investigated. A characterization of a fuzzy $B$-algebra is given. (English) |
| Keyword:
|
normal $B$-subalgebra |
| Keyword:
|
fuzzy (normal) $B$-algebra |
| Keyword:
|
upper level cut |
| MSC:
|
03E72 |
| MSC:
|
03G25 |
| MSC:
|
06F35 |
| idZBL:
|
Zbl 1011.06501 |
| idMR:
|
MR1905445 |
| . |
| Date available:
|
2009-09-24T10:52:04Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127726 |
| . |
| Reference:
|
[1] J. R. Cho and H. S. Kim: On $B$-algebras and quasigroups. Preprint.. MR 1876781 |
| Reference:
|
[2] Q. P. Hu and X. Li: On $BCH$-algebras.Math. Seminar Notes 11 (1983), 313–320. MR 0769036 |
| Reference:
|
[3] Q. P. Hu and X. Li: On proper $BCH$-algebras.Math. Japon. 30 (1985), 659–661. MR 0812016 |
| Reference:
|
[4] K. Iséki: On $BCI$-algebras.Math. Seminar Notes 8 (1980), 125–130. MR 0590171 |
| Reference:
|
[5] K. Iséki and S. Tanaka: An introduction to theory of $BCK$-algebras.Math. Japon. 23 (1978), 1–26. MR 0500283 |
| Reference:
|
[6] Y. B. Jun, E. H. Roh and H. S. Kim: On $BH$-algebras.Sci. Math. 1 (1998), 347–354. MR 1688250 |
| Reference:
|
[7] J. Meng and Y. B. Jun: $BCK$-Algebras.Kyung Moon Sa Co., Seoul, 1994. MR 1297121 |
| Reference:
|
[8] J. Neggers, P. J. Allen and H. S. Kim: $B$-algebras and groups.Submitted. |
| Reference:
|
[9] J. Neggers and H. S. Kim: On $B$-algebras.Int. J. Math. Math. Sci. 27 (2001), 749–757. MR 1877082, 10.1155/S0161171201006627 |
| Reference:
|
[10] J. Neggers and H. S. Kim: A fundamental theorem of $B$-homomorphism for $B$-algebras.Submitted. |
| . |
