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

Arsham Borumand Saeid

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.

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• Arsham Borumand Saeid
• Dept. of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
• Revised: 2009-01-30.
• Accepted: 2009-01-30.