Kybernetika 60 no. 2, 150-171, 2024

Convex (L,M)-fuzzy remote neighborhood operators

Hu Zhao, Li-Yan Jia and Gui-Xiu ChenDOI: 10.14736/kyb-2024-2-0150

Abstract:

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.

Keywords:

complete lattice, convex $(L,M)$-fuzzy remote neighborhood operator, $(L,M)$-fuzzy convex structure

Classification:

03E72, 52A01, 54A40

paper.pdf

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