Dual fuzzy neighbourhood spaces. I

DOI10.1016/0165-0114(91)90008-EzbMath0758.54003OpenAlexW2014255067MaRDI QIDQ1181999

Nehad N. Morsi

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0165-0114(91)90008-e

zbMATH Keywords

fuzzy neighborhood spacesdual fuzzy neighborhood spacefuzzy neighborhood-base space

Mathematics Subject Classification ID

Fuzzy topology (54A40)

Related Items (31)

\(\mathbf{FNS}\) is not isomorphic to \(\mathbf{FTS}\) ⋮ Generalized possibility measures ⋮ A fuzzy \(R_ 1\) separation axiom ⋮ A level-topologies criterion for Lowen fuzzy uniformizability ⋮ The Urysohn lemma for fuzzy neighbourhood spaces ⋮ A note on fuzzy neighbourhood base spaces ⋮ An enriched category approach to many valued topology ⋮ Fuzzy \(T\)-locality spaces ⋮ Fuzzy proximities induced by functional fuzzy separation ⋮ On co-optimal lifts in the category of fuzzy neighbourhood spaces ⋮ Bounded linear transformations between probabilistic normed vector spaces ⋮ Stable subconstructs of FTS. II ⋮ A short note on fuzzy neighborhood convergence spaces ⋮ On fuzzy neighbourhood spaces ⋮ Dual fuzzy neighbourhood spaces. I ⋮ On regularity axioms in fuzzy neighbourhood spaces ⋮ Continuity of fuzzy multiplication in the \(N\)-Euclidean space ⋮ Sequential convergence in fuzzy neighborhood spaces ⋮ Fuzzy metric neighbourhood spaces ⋮ Invariant probabilistic metrizability of fuzzy neighbourhood groups ⋮ Pseudo-closure operators in fuzzy neighbourhood-base spaces ⋮ On two types of stable subconstructs of FTS ⋮ On two types of stable subconstructs of FTS ⋮ Nearness concepts in fuzzy neighbourhood spaces and in their fuzzy proximity spaces ⋮ Stable subconstructs of FTS. III: Exotic cases ⋮ Net-convergence in fuzzy neighborhood spaces ⋮ A short note on fuzzy neighbourhood convergence spaces ⋮ Characterizations of some fuzzy topological notions in probabilistic metric spaces ⋮ Conditions on a semigroup to be a fuzzy neighborhood group ⋮ On two theories of fuzzy syntopogeny for the framework FNS ⋮ Fuzzy \(T\)-neighbourhood spaces. II: \(T\)-neighbourhood systems

Cites Work

• Unnamed Item
• Unnamed Item
• A short note on fuzzy neighbourhood spaces
• Nearness concepts in fuzzy neighbourhood spaces and in their fuzzy proximity spaces
• On the determination of fuzzy topological spaces and fuzzy neighbourhood spaces by their level-topologies
• Linear fuzzy neighborhood spaces
• Semi-induced fuzzy topologies
• Compact Hausdorff fuzzy topological spaces are topological
• Fuzzy neighborhood spaces
• Fuzzy uniform spaces
• Compactness notions in fuzzy neighborhood spaces
• On fuzzy neighbourhood spaces
• Dual fuzzy neighbourhood spaces. I
• Fuzzy metric neighbourhood spaces
• Pseudo-closure operators in fuzzy neighbourhood-base spaces
• Fixed points, separation, and induced topologies for fuzzy sets
• Fuzzy topological spaces and fuzzy compactness
• Compactness in fuzzy topological spaces
• A comparison of different compactness notions in fuzzy topological spaces
• Characterizations of some fuzzy topological notions in probabilistic metric spaces
• On fuzzy pseudo-normed vector spaces
• Characterization of fuzzy topologies by s-neighbourhood systems
• On co-optimal lifts in the category of fuzzy neighbourhood spaces
• The Urysohn lemma for fuzzy neighbourhood spaces
• Convergence in fuzzy topological spaces
• Fuzzy sets
• Fuzzy topological spaces

This page was built for publication: Dual fuzzy neighbourhood spaces. I