Relationships between L-fuzzy quasi-uniform structures and L-fuzzy topologies

Categories of Alexandrov L-Fuzzy Pre-uniformities, L-Approximation Operators and Alexandrov L-Fuzzy Topologies

“…By using this concepts, information systems and decision rules were investigated in complete residuated lattices [6,7,17,18,20]. Cimoka and Sostak [18] and Ramadan et al [22,23]investigated the relationships between L-fuzzy quasi-uniformities and L-fuzzy topologies in complete residuated lattices.…”

Alexandrov L-Fuzzy Pre-Proximities

“…It is an important mathematical tool for studying algebraic structure. By using lower and upper approximation operators, information systems and decision rules were investigated in complete residuated lattices [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Bělohlávek [4] developed the notion of fuzzy contexts using Galois connections with R ∈ L X×Y on a complete residuated lattice.…”

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.…”