The theory of global fuzzy neighborhood structures. I: The general case

DOI10.1016/S0165-0114(97)00111-5zbMath0934.54004OpenAlexW2093664908MaRDI QIDQ1296833

Ali Kandil, Fatma Bayoumi, Werner Gähler, A. A. Nouh

Publication date: 10 April 2000

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-0114(97)00111-5

zbMATH Keywords

fuzzy filter monadmonadic topologies

Mathematics Subject Classification ID

Fuzzy topology (54A40) Categorical methods in general topology (54B30)

Related Items (8)

Global \(L\)-neighborhood groups ⋮ On \(L\)-proximities of the internal type ⋮ On initial and final fuzzy uniform structures. II ⋮ A new approach to lattice-valued convergence groups via \(\top\)-filters ⋮ The theory of global fuzzy neighborhood structures. II: Fuzzy topogenous orders ⋮ The theory of global fuzzy neighborhood structures. III: Fuzzy uniform structures ⋮ The \(\alpha\)-levels of a fuzzy uniform structure and of a fuzzy proximity ⋮ On initial and final fuzzy uniform structures

Cites Work

• A short note on fuzzy neighbourhood spaces
• On fuzzy syntopogeneous structures
• Fuzzy neighborhood spaces
• Fuzzy topological spaces and fuzzy compactness
• Uniformities on fuzzy topological spaces
• Fuzzy proximity spaces
• Fuzzy real numbers
• The general fuzzy filter approach to fuzzy topology. I
• The general fuzzy filter approach to fuzzy topology. II
• L-fuzzy sets
• Convergence in fuzzy topological spaces
• On the Reflectiveness and Coreflectiveness of Subcategories of FTS
• Top categories and categorical topology
• On fuzzy metric spaces
• Convergence
• Fuzzy topological spaces
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