摘要
Considering a complete residuated lattice L as the lattice background, the concept of (preconcave, concave) L-convergence spaces via L-ordered co-Scott closed sets is introduced and its diagonal axioms are proposed. It is shown that concave L-convergence spaces are isomorphic to strong L-concave spaces in a categorical viewpoint. Also, it is proved that a preconcave L-convergence space satisfies the Kowalsky diagonal axiom if and only if it is concave, and an L-convergence space satisfies the Fischer diagonal axiom if and only if it is concave.
源语言 | 英语 |
---|---|
页(从-至) | 61-80 |
页数 | 20 |
期刊 | Iranian Journal of Fuzzy Systems |
卷 | 21 |
期 | 4 |
DOI | |
出版状态 | 已出版 - 2024 |
指纹
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Han, X., & Pang, B. (2024). Convergence structures in L-concave spaces. Iranian Journal of Fuzzy Systems, 21(4), 61-80. https://doi.org/10.22111/ijfs.2024.48804.8608