On lower separation axioms

Generalization Some Fuzzy Separation Axioms to Ditopological Texture Spaces

“…These generalization axioms obtained that the fuzzy quasi separation axioms, in the sense of M. H. Ghanim, O. A. Tantawy [12]. In applications, the new generalized T 0 is more useful than generalized T 0 axiom in the sense of [9].…”

“…Now we want to give new definitions of quasi (Q-) separation axioms in a complemented grounded ditopological texture space (S, S, τ, κ, σ) which are generalized fuzzy quasi separation axioms in the sense of [12].…”

“…The authors characterize the notion of quasi coincident in texture spaces and study the generalization of fuzzy quasi separation axioms defined by [12] to the ditopological texture spaces. …”

Characteristic matrix of covering and its application to Boolean matrix decomposition

“…In recent years, it has attracted much research interest with a series of significant problems proposed. For example, different approximation models have been constructed [5,30,34,40], covering reduction problems have been defined [7,24,31,39], generalization works have been conducted [6,8,14,32,37] and combinations with other theories have been made [10,11,22,29,33]. Specifically, axiomatization of covering approximation operators has become a hot issue.…”

A new approach to -, -Urysohn, and -completely Hausdorff axioms

“…There have been diverse studies on separation axioms in L-topology (see [1,[5][6][7][11][12][13]16,[18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][40][41][42][43][44][45] etc.). Some of them were only motivated by extending the syntax of separation axioms in general topology; while others were motivated by the relations between separation axioms and compactness, uniformities, metrics, convergence, etc.…”