Convergence structures in L-concave spaces

Han, Xiancheng; Pang, Bin

doi:10.22111/ijfs.2024.48804.8608

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	Convergence structures in L-concave spaces
Iranian Journal of Fuzzy Systems
دوره 21، شماره 4، مهر و آبان 2024، صفحه 61-80 اصل مقاله (487.07 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2024.48804.8608
نویسندگان
Xiancheng Han¹؛ Bin Pang^* ²
¹Beijing Institute of Technology
²School of Mathematics, Beijing Institute of Technology
چکیده
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.
کلیدواژه‌ها
L-convex space؛ L-concave space؛ L-convergence space؛ L-ordered co-Scott closed set؛ Diagonal axiom

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Convergence structures in L-concave spaces