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Convergent Filter Bases

Roland Coghetto (2015)

Formalized Mathematics

We are inspired by the work of Henri Cartan [16], Bourbaki [10] (TG. I Filtres) and Claude Wagschal [34]. We define the base of filter, image filter, convergent filter bases, limit filter and the filter base of tails (fr: filtre des sections).

Convex ( L , M ) -fuzzy remote neighborhood operators

Hu Zhao, Li-Yan Jia, Gui-Xiu Chen (2024)

Kybernetika

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.

Currently displaying 741 – 760 of 868