L-Fuzzy Uniformities Induced by L-Neighborhood Systems and L-Fuzzy Topologies

Abstract

In this paper, we obtain L-fuzzy uniformities induced by Lneighborhood systems and L-fuzzy topologies in complete residuated lattices. Moreover, every N -continuous maps are fuzzy uniformly continuous and every fuzzy continuous maps are fuzzy uniformly continuous.

Relationships Between $L$-Neighborhood Systems and $L$-Fuzzy Topologies

“…Ramadan et al [10,11] investigated the relationships between L-fuzzy quasi-uniform structures and L-fuzzy topological structures in a complete residuated lattice.…”