L-fuzzy topogenous orders and L-fuzzy topologies

More on D α -Closed Sets in Topological Spaces

“…Further, they investigated several properties of Dα-closed and strongly Dα-closed graphs. In fact, research on spaces analogous to topological spaces and generalized closed sets among topological spaces may have certain driving effect on research on theory of rough set, soft set, spatial reasoning, implicational spaces and knowledge spaces, and logic (see [16][17][18]). For this reason, we will define the notions of Dα-derived, Dα-border, Dα-frontier, and Dα-exterior of a set based on the notion of Dα-open sets.…”

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.…”

“…Bělohlávek [4] developed the notion of fuzzy contexts using Galois connections with R ∈ L X×Y on a complete residuated lattice. El-Dardery [6] introduced L-fuzzy pre-proximity in view points of Sostak's fuzzy topology [9] and Kim's L-fuzzy proximities [13] on strictly two-sided, commutative quantales. Kim [10][11][12][13][14][15] investigated the properties of Alexandrov L-fuzzy topologies, Alexandrov L-fuzzy quasi-uniformities, and L-fuzzy approximate operators in complete residuated lattices.…”