Results on co-fuzzy ideals of BCI-algebras

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.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

关于BCI-代数的余模糊理想的一些结果

王伟1，辛小龙2

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

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

WANG Wei1, XIN Xiaolong2. Results on co-fuzzy ideals of BCI-algebras[J]. Computer Engineering and Applications, 2012, 48(3): 55-56.

王伟1，辛小龙2. 关于BCI-代数的余模糊理想的一些结果[J]. 计算机工程与应用, 2012, 48(3): 55-56.

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Results on co-fuzzy ideals of BCI-algebras

关于BCI-代数的余模糊理想的一些结果

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