Fuzzy ideals and intuitionistic fuzzy ideals of BR0 algebras

doi:10.3778/j.issn.1002-8331.2008.30.017

Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (30): 59-61.DOI: 10.3778/j.issn.1002-8331.2008.30.017

• 理论研究 • Previous Articles Next Articles

Fuzzy ideals and intuitionistic fuzzy ideals of BR₀ algebras

ZHANG Qiu-xia,WU Hong-bo

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

BR₀代数的模糊理想与直觉模糊理想

张秋霞,吴洪博

陕西师范大学数学与信息科学学院，西安 710062

通讯作者: 张秋霞

Abstract

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

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

ZHANG Qiu-xia,WU Hong-bo. Fuzzy ideals and intuitionistic fuzzy ideals of BR₀ algebras[J]. Computer Engineering and Applications, 2008, 44(30): 59-61.

张秋霞,吴洪博. BR₀代数的模糊理想与直觉模糊理想[J]. 计算机工程与应用, 2008, 44(30): 59-61.

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Fuzzy ideals and intuitionistic fuzzy ideals of BR₀ algebras

BR₀代数的模糊理想与直觉模糊理想

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