计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (30): 59-61.DOI: 10.3778/j.issn.1002-8331.2008.30.017

• 理论研究 • 上一篇    下一篇

BR0代数的模糊理想与直觉模糊理想

张秋霞,吴洪博   

  1. 陕西师范大学 数学与信息科学学院,西安 710062
  • 收稿日期:2007-11-30 修回日期:2008-01-29 出版日期:2008-10-21 发布日期:2008-10-21
  • 通讯作者: 张秋霞

Fuzzy ideals and intuitionistic fuzzy ideals of BR0 algebras

ZHANG Qiu-xia,WU Hong-bo   

  1. College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China
  • Received:2007-11-30 Revised:2008-01-29 Online:2008-10-21 Published:2008-10-21
  • Contact: ZHANG Qiu-xia

摘要: 引入BR0代数的Fuzzy理想与素Fuzzy理想的概念;给出了Fuzzy理想与素Fuzzy理想的等价形式;在(素)Fuzzy理想基础之上又进一步引入了(素)直觉Fuzzy理想,并通过Fuzzy理想找到了它们与(素)理想之间的关系。

关键词: 逻辑代数, BR0代数, 理想, 素理想, (直觉)Fuzzy理想, (素)(直觉)Fuzzy理想

Abstract: In this paper,the defination of fuzzy ideals and prime fuzzy ideals are introduced.And their equivalent descriptions are disscussed.On the basic of (prime) fuzzy ideals,the (prime) intuitionistic fuzzy ideals are investigated.The link between (prime) intuitionistic fuzzy ideals and (prime) ideals is built through the fuzzy ideals.

Key words: logical algebras, BR0 algebras, ideals, (prime)ideals, intuitionistic fuzzy ideals, (prime)(intuitionistic)fuzzy ideals