关于BRK-代数的Pythgorean模糊BRK-理想研究  

On Pythgorean Fuzzy BRK-Ideals of BRK-Algebras

作　　者：宋爱丽 SONG Ai-li(College of Mathematics and Statistics,Kashi University,Kashi 844000,Xinjiang,China)

机构地区：[1]喀什大学数学与统计学院,新疆喀什844000

出　　处：《喀什大学学报》2022年第6期6-10,共5页Journal of Kashi University

基　　金：新疆维吾尔自治区自然科学基金项目“半群的几类模糊子半群及模糊理想研究”(2018D01A02)。

摘　　要：为了进一步了解BRK-代数的模糊结构,将Pythgorean模糊集的概念应用于BRK-代数,引入了BRK-代数的Pythgorean模糊BRK-理想的概念.讨论了BRK-代数的Pythgorean模糊BRK-理想的相关性质,得到了BRK-代数Pythgorean模糊BRK-理想与它的模糊BRK-理想之间的关系,证明了BRK-代数Pythgorean模糊BRK-理想的交集和直积仍然是Pythgorean模糊BRK-理想.In order to further understand the fuzzy structure of BRK algebras, the concept of Pythgorean fuzzy set is applied to BRK algebras, and the concept of Pythgorean fuzzy BRK ideal of BRK algebras is introduced.This paper discusses the related properties of Pythagorean fuzzy BRK ideals of BRK algebras, obtains the relationship between Pythagorean fuzzy BRK ideals of BRK algebras and its fuzzy BRK ideals, and proves that the intersection and direct product of Pythagorean fuzzy BRK ideals of BRK algebras are still Pythagorean fuzzy BRK ideals. The relevant research results can enrich and perfect the fuzzy theory of BRK algebra.

关 键 词：BRK-代数 Pythgorean模糊BRK-理想 交集 直积 

分 类 号：O152.2[理学—数学]