Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (3): 55-56.

• 研究、探讨 • Previous Articles     Next Articles

Results on co-fuzzy ideals of BCI-algebras

WANG Wei1, XIN Xiaolong2   

  1. 1.Department of Applied Mathematics, College of Science, Xi’an Shiyou University, Xi’an 710065, China
    2.Department of Mathematics, Northwest University, Xi’an 710069, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2012-01-21 Published:2012-01-21


王 伟1,辛小龙2   

  1. 1.西安石油大学 理学院 应用数学系,西安 710065
    2.西北大学 数学系,西安 710069

Abstract: The aim of this paper is to research the properties of co-fuzzy ideals of BCI-algebras by fuzzy set theory. Based on co-fuzzy ideals, a congruence relation of BCI-algebras is introduced. Furthermore a quotient algebra induced by a co-fuzzy ideal in BCI-algebra is obtained and proved to be a BCI-algebra.

Key words: BCI-algebra, co-fuzzy ideal, congruence relation, quotient algebra

摘要: 目的是通过模糊集理论研究BCI-代数的余模糊理想的性质。应用余模糊理想,引入了BCI-代数的一个同余关系,进而得到了BCI-代数的一个商代数,并且证明了商代数也是一个BCI-代数。

关键词: BCI-代数, 余模糊理想, 同余关系, 商代数