DOI: 10.15672/hujms.1902943 ISSN: 2651-477X

Compactness of fuzzy quasi-normed spaces

Guangxv Zhang, Shi Yi, Yu Zhong
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In this paper we first characterize a fuzzy quasi-normed space whose induced topology satisfies the T2separation axiom. Then we focus on various properties of fuzzy quasi-normed spaces, including right-boundedness, precompactness and compactness. In particular, we introduce a notion of strong compact-ness of fuzzy quasi-normed spaces, which is used to describe the right-boundedness.

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