模糊赋范Riesz空间的性质  

Properties of Fuzzy Normed Riesz Spaces

作　　者：赵家锐 李浩 潘相宇 

机构地区：[1]西华大学理学院,四川 成都

出　　处：《应用数学进展》2022年第4期2017-2023,共7页Advances in Applied Mathematics

摘　　要：本文证明了模糊赋范Riesz空间中的分解定理,引入了向上集(向下集)依模糊范数收敛的概念,并讨论了模糊赋范Riesz空间中有关收敛的一些性质。In this paper, the decomposition theorem in fuzzy normed Riesz spaces is proved. With the concept of convergence of upwards directed set (downwards directed set) with respect to fuzzy norm being introduced, some properties of convergence in fuzzy normed Riesz spaces are discussed.

关 键 词：模糊赋范Riesz空间 分解定理 向上集(向下集)模糊范数收敛 

分 类 号：O159[理学—数学]