Opuscula Math. 29, no. 2 (2009), 177-186

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
  • Received: 2008-11-22.
  • Revised: 2009-01-30.
  • Accepted: 2009-01-30.
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Cite this article as:
Arsham Borumand Saeid, Vague BCK/BCI-algebras, Opuscula Math. 29, no. 2 (2009), 177-186, http://dx.doi.org/10.7494/OpMath.2009.29.2.177

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