Opuscula Math. 29, no. 2 (2009), 177-186
http://dx.doi.org/10.7494/OpMath.2009.29.2.177
Opuscula Mathematica
Vague BCK/BCI-algebras
Abstract. In this note, by using the concept of vague sets, the notion of vague \(BCK/BCI\)-algebra is introduced. And the notions of \(\alpha\)-cut and vague-cut are introduced and the relationships between these notions and crisp subalgebras are studied.
Keywords: vague sets, vague \(BCK/BCI\)-algebra, vague-cut.
Mathematics Subject Classification: 06F35, 03G25, 03E72.
- Arsham Borumand Saeid
- Dept. of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
- Received: 2008-11-22.
- Revised: 2009-01-30.
- Accepted: 2009-01-30.