Compactness of fuzzy quasi-normed spaces
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.
Authors
- Guangxv Zhang (ORCID: https://orcid.org/0000-0002-8940-9894)
- Yi Shi (ORCID: https://orcid.org/0000-0003-1712-9495)
- Yu Zhong (ORCID: https://orcid.org/0009-0008-8333-3519)
Institutions
- North China University of Technology (CN)
- Nanjing Institute of Technology (CN)
Publication Details
- Journal
- Hacettepe Journal of Mathematics and Statistics
- Published
- 2026-10-28
- DOI
- https://doi.org/10.15672/hujms.1902943
- Primary Topic
- Fuzzy and Soft Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Jiangsu Province
- Nanjing Institute of Technology