Convex $(L,M)$-fuzzy remote neighborhood operators
Kybernetika, Tome 60 (2024) no. 2, pp. 150-171
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
In this paper, two kinds of remote neighborhood operators in $(L, M)$-fuzzy convex spaces are proposed, which are called convex $(L,M)$-fuzzy remote neighborhood operators. It is proved that these two kinds of convex $(L,M)$-fuzzy remote neighborhood operators can be used to characterize $(L, M)$-fuzzy convex structures. In addition, the lattice structures of two kinds of convex $ (L,M) $-fuzzy remote neighborhood operators are also given.
In this paper, two kinds of remote neighborhood operators in $(L, M)$-fuzzy convex spaces are proposed, which are called convex $(L,M)$-fuzzy remote neighborhood operators. It is proved that these two kinds of convex $(L,M)$-fuzzy remote neighborhood operators can be used to characterize $(L, M)$-fuzzy convex structures. In addition, the lattice structures of two kinds of convex $ (L,M) $-fuzzy remote neighborhood operators are also given.
DOI :
10.14736/kyb-2024-2-0150
Classification :
03E72, 52A01, 54A40
Keywords: convex $(L, M)$-fuzzy remote neighborhood operator; $(L, M)$-fuzzy convex structure; complete lattice
Keywords: convex $(L, M)$-fuzzy remote neighborhood operator; $(L, M)$-fuzzy convex structure; complete lattice
@article{10_14736_kyb_2024_2_0150,
author = {Zhao, Hu and Jia, Li-Yan and Chen, Gui-Xiu},
title = {Convex $(L,M)$-fuzzy remote neighborhood operators},
journal = {Kybernetika},
pages = {150--171},
year = {2024},
volume = {60},
number = {2},
doi = {10.14736/kyb-2024-2-0150},
mrnumber = {4757767},
zbl = {07893452},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2024-2-0150/}
}
TY - JOUR AU - Zhao, Hu AU - Jia, Li-Yan AU - Chen, Gui-Xiu TI - Convex $(L,M)$-fuzzy remote neighborhood operators JO - Kybernetika PY - 2024 SP - 150 EP - 171 VL - 60 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2024-2-0150/ DO - 10.14736/kyb-2024-2-0150 LA - en ID - 10_14736_kyb_2024_2_0150 ER -
Zhao, Hu; Jia, Li-Yan; Chen, Gui-Xiu. Convex $(L,M)$-fuzzy remote neighborhood operators. Kybernetika, Tome 60 (2024) no. 2, pp. 150-171. doi: 10.14736/kyb-2024-2-0150
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