Geodesic
On (L, N)-fuzzy betweenness relations
Filomat, Tome 37 (2023) no. 11, p. 3559

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DOI

In this paper, aiming at the shortcomings of the definition of LRG-Galois connections in [51], we give a new definition of (strong) LRG-Galois connections, and we also introduce the notions of (L, N)-fuzzy betweenness relations. By using a strong LRG-Galois connection in our sense, it is shown that the category of (L, N)-fuzzy betweenness spaces and the category of (L, M)-fuzzy convex spaces are isomorphic. Moreover, it is proved that the lattice of (L, M)-fuzzy convex structures and the lattice of (L, N)-fuzzy betweenness relations are complete lattice isomorphic.
DOI : 10.2298/FIL2311559Z
Classification : 03E72, 52A01, 54A40
Keywords: (L, M)-fuzzy convex structures, (L, N)-fuzzy betweenness spaces, (L, M)-fuzzy restricted hull operators, LRG-Galois connections, isomorphic 
Hu Zhao; Yu-Jie Zhao; Shao-Yu Zhang. On (L, N)-fuzzy betweenness relations. Filomat, Tome 37 (2023) no. 11, p. 3559 . doi: 10.2298/FIL2311559Z
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     author = {Hu Zhao and Yu-Jie Zhao and Shao-Yu Zhang},
     title = {On {(L,} {N)-fuzzy} betweenness relations},
     journal = {Filomat},
     pages = {3559 },
     year = {2023},
     volume = {37},
     number = {11},
     doi = {10.2298/FIL2311559Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2311559Z/}
}
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