Degrees of separation properties in stratified L-generalized convergence spaces using residual implication

DOI10.2298/FIL1720293PzbMath1499.54057OpenAlexW2796675000MaRDI QIDQ5023093

Bin Pang

Publication date: 20 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1720293p

zbMATH Keywords

regularityresidual implicationlattice-valued convergence\(T_2\) axiom\(T_1\) axiom

Mathematics Subject Classification ID

Fuzzy topology (54A40) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items (17)

Rough approximation operators based on quantale-valued fuzzy generalized neighborhood systems ⋮ Categorical properties of L-fuzzifying convergence spaces ⋮ Bases and subbases in \((L, M)\)-fuzzy convex spaces ⋮ Regularity of fuzzy convergence spaces ⋮ Convergence structures in M-fuzzifying convex spaces ⋮ Strong inclusion orders between L-subsets and its applications in L-convex spaces ⋮ \(L\)-fuzzifying approximation operators in fuzzy rough sets ⋮ A categorical approach to abstract convex spaces and interval spaces ⋮ A degree approach to relationship among fuzzy convex structures, fuzzy closure systems and fuzzy Alexandrov topologies ⋮ Hull operators and interval operators in \((L,M)\)-fuzzy convex spaces ⋮ Some properties of \(M\)-fuzzifying convexities induced by \(M\)-orders ⋮ \(L\)-fuzzy rough approximation operators via three new types of \(L\)-fuzzy relations ⋮ Fuzzy counterparts of hull operators and interval operators in the framework of \(L\)-convex spaces ⋮ An axiomatic approach to bases and subbases in \(L\)-convex spaces and their applications ⋮ Lattice-valued convergence associated with CNS spaces ⋮ Convenient properties of stratified L-convergence tower spaces ⋮ Monoidal closedness of the category of $\top$-semiuniform convergence spaces

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