\((\bar{\varepsilon},\overline{\varepsilon\wedge q_k})\)-fuzzy Subalgebras in BCK/BCI-algebras
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Authors
Reza Ameri
- School of Mathematics, Statics and Computer Sciences, University of Tehran, P. O. Box 14155-6415, Tehran, Iran
Hossein Hedayati
- Department of Mathematics, Faculty of Basic Science, Babol University of Technology, Babol, Iran
Morteza Norouzi
- Department of Mathematics, University of Mazandaran, Babolsar, Iran
Abstract
In this paper, the notion of not quasi-coincidence \(\bar{q}\) of a
fuzzy point with a fuzzy set is considered. We introduce the
notion of \((\bar{\varepsilon},\overline{\varepsilon\wedge q_k})\)-fuzzy \((\bar{\varepsilon},\overline{ q_k})\)-fuzzy subalgebra in a
BCK/BCI-algebra X and several properties are investigated.
Specially, we show that under certain conditions an
\((\bar{\varepsilon},\overline{\varepsilon\wedge q_k})\) -fuzzy subalgebra can be expressed such that
consist of a union of two proper non-equivalent \((\bar{\varepsilon},\overline{\varepsilon\wedge q_k})\) -
fuzzy subalgebras.
Share and Cite
ISRP Style
Reza Ameri, Hossein Hedayati, Morteza Norouzi, \((\bar{\varepsilon},\overline{\varepsilon\wedge q_k})\)-fuzzy Subalgebras in BCK/BCI-algebras, Journal of Mathematics and Computer Science, 2 (2011), no. 1, 130--140
AMA Style
Ameri Reza, Hedayati Hossein, Norouzi Morteza, \((\bar{\varepsilon},\overline{\varepsilon\wedge q_k})\)-fuzzy Subalgebras in BCK/BCI-algebras. J Math Comput SCI-JM. (2011); 2(1):130--140
Chicago/Turabian Style
Ameri, Reza, Hedayati, Hossein, Norouzi, Morteza. "\((\bar{\varepsilon},\overline{\varepsilon\wedge q_k})\)-fuzzy Subalgebras in BCK/BCI-algebras." Journal of Mathematics and Computer Science, 2, no. 1 (2011): 130--140
Keywords
- BCK/BCI-algebra
- \((\bar{\varepsilon}،\bar{ q_k})\)-fuzzy subalgebra
- \((\bar{\varepsilon}،\overline{\varepsilon\wedge q_k})\)-fuzzy subalgebra
- \((\overline{\varepsilon\wedge q_k})\)-level subalgebra.
MSC
- 06F35
- 54A40
- 03E72
- 03G25
- 03B52
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