Convergence structures in (l, m)-fuzzy convex spaces
Filomat, Tome 37 (2023) no. 9, p. 2859
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This paper presents the concepts of (L, M)-remotehood spaces and (L, M)-convergence spaces in the framework of (L, M)-fuzzy convex spaces. Firstly, it is shown that the category of (L, M)-remotehood spaces is isomorphic to the category of (L, M)-fuzzy convex spaces. Secondly, it is proved that the category of (L, M)-fuzzy convex spaces can be embedded in the category of (L, M)-convergence spaces as a reflective subcategory. Finally, the concepts of preconvex (L, M)-remotehood spaces and preconvex (L, M)-convergence spaces are introduced and it is shown that the category of preconvex (L, M)-remotehood spaces is isomorphic to the category of preconvex (L, M)-convergence spaces.
Classification :
52A01, 54A40
Keywords: (L, M)-fuzzy convex structure, (L, M)-convergence structure, (L, M)-remotehood system, (L, M)-convex ideal
Keywords: (L, M)-fuzzy convex structure, (L, M)-convergence structure, (L, M)-remotehood system, (L, M)-convex ideal
Lin Zhang; Bin Pang. Convergence structures in (l, m)-fuzzy convex spaces. Filomat, Tome 37 (2023) no. 9, p. 2859 . doi: 10.2298/FIL2309859Z
@article{10_2298_FIL2309859Z,
author = {Lin Zhang and Bin Pang},
title = {Convergence structures in (l, m)-fuzzy convex spaces},
journal = {Filomat},
pages = {2859 },
year = {2023},
volume = {37},
number = {9},
doi = {10.2298/FIL2309859Z},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2309859Z/}
}
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