10.1186/2251-7456-6-67

Quasi a-ideals in BCI-algebras

HTML PDF
  • Alireza Gilani*1,
  1. Department of Mathematics, Islamic Azad University South Tehran Branch, Tehran, 14174, IR

Published in Issue 2012-11-13

How to Cite

Gilani, A. (2012). Quasi a-ideals in BCI-algebras. Mathematical Sciences, 6(1). https://doi.org/10.1186/2251-7456-6-67
Crossref
Scopus
Google Scholar
Europe PMC

HTML views: 20

PDF views: 68

Abstract

Abstract Abstract Non-classical logic has become a considerable formal tool for computer science on computational intelligence to deal with fuzzy information and uncertain information. BCI-algebras and BCK-algebras are two classes of non-classical logic algebras that are introduced by Iseki in 1966 and they are algebraic formulations of BCK and BCI-system in logic algebras. Lele used the notion of fuzzy point to study some properties of BCI-algebras. Jun and Lele used the notion of fuzzy points for establishing quasi q-ideal in the set of all fuzzy points of a fixed BCI-algebras and give some characterizations of these ideals.

Keywords

  • BCI-algebras,
  • Quasi ideals,
  • Quasi a-ideals
HTML PDF

References

  1. Lele et al. (2001) Fuzzy ideals and weak ideals in BCK-algebras (pp. 323-336)
  2. Zhan and Tan (2003) Q-fuzzy dot subalgebras of BCK/BCI-algebras (pp. 11-20)
  3. Iseki (1980) On BCI-algebra (pp. 125-130)