模糊赋范Riesz空间的性质
Properties of Fuzzy Normed Riesz Spaces
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。
Abstract: 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.
文章引用:赵家锐, 李浩, 潘相宇. 模糊赋范Riesz空间的性质[J]. 应用数学进展, 2022, 11(4): 2017-2023. https://doi.org/10.12677/AAM.2022.114218

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