模糊Riesz空间中模糊不相交补和模糊投影带性质的研究  

A Study on the Properties of Fuzzy Disjoint Complement and Fuzzy Projection Band in Fuzzy Riesz Spaces

作　　者：赵娟娟 程娜 

机构地区：[1]西华大学理学院,四川 成都

出　　处：《理论数学》2022年第12期2178-2188,共11页Pure Mathematics

摘　　要：本文首先研究模糊Riesz空间中模糊不相交补的性质,给出非零且两两不交的一列元素是线性无关的结论,然后在模糊Riesz空间中讨论了模糊投影带,并给出模糊序基的定义,最后讨论模糊序稠的一些性质及模糊理想与模糊带之间的关系。In this paper, we first study the properties of fuzzy disjoint complements in fuzzy Riesz spaces, and give the conclusion that a list of elements that are nonzero and disjoint are linearly independent. Then we discuss the fuzzy projective bands in fuzzy Riesz spaces, and give the definition of fuzzy order bases. Finally, we discuss some properties of fuzzy order dense and the relationship between fuzzy ideals and fuzzy bands.

关 键 词：模糊Riesz空间 模糊不相交补 模糊序基 模糊序稠 模糊投影带 

分 类 号：O159[理学—数学]