模糊賦范Riesz空間上序列性質(zhì)研究

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中圖分類號(hào)：0177 文獻(xiàn)標(biāo)識(shí)碼：A 文章編號(hào)：1674-0033（2025）04-0027-06

Abstract： Through the study of the properties such as the fuzzy order continuous norm of sequences in the fuzzy normed Riesz space，the consistency of the limits of the fuzzy norm convergence and the fuzzy order convergence of sequences in the fuzzy normed Riesz space is given. The properties of the fuzzy norm convergence in the fuzzy normed Riesz space are systematically expounded. The equivalent relations among increasing sequences，upward set systems and fuzzy norm Cauchy sequences in this space are deeply discussed，and the relevant properties of the fuzzy order continuous norm are elaborated in detail.It is expercted to provide a basis for the research on the properties of fuzzy positive projections，fuzzy positive operators and positivity preservation in the fuzzy normed Riesz space.

Key words： fuzzy normed Riesz space; fuzzy Banach lattice; fuzzy normed convergence

模糊序連續(xù)范數(shù)作為模糊賦范Riesz空間理論體系的核心要素，其性質(zhì)深度關(guān)聯(lián)著空間的代數(shù)結(jié)構(gòu)與拓?fù)涮卣?。（剩?0717字）