On the determination of fuzzy topological spaces and fuzzy neighbourhood spaces by their level-topologies
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Publication:1063890
DOI10.1016/0165-0114(84)90051-4zbMath0574.54004OpenAlexW4240947037MaRDI QIDQ1063890
Publication date: 1984
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0165-0114(84)90051-4
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Fuzzy topologies with specified level properties ⋮ Uniform-type structures on lattice-valued spaces and frames ⋮ \(I(L)\)-topological groups and its level \(L\)-topological groups ⋮ A level-topologies criterion for Lowen fuzzy uniformizability ⋮ The cutting of compositions ⋮ On the \(R_ 0\)-property in fuzzy topology ⋮ On level-topologies and maximality of fuzzy topological spaces ⋮ The Urysohn lemma for fuzzy neighbourhood spaces ⋮ A note on fuzzy neighbourhood base spaces ⋮ Concerning the constants in fuzzy topology ⋮ Reflectors and coreflectors in the category of fuzzy topological spaces ⋮ Basic structures of fuzzy topology ⋮ On co-optimal lifts in the category of fuzzy neighbourhood spaces ⋮ Stable subconstructs of FTS. II ⋮ Generalised filters. II ⋮ On the level decompositions by the range of an \(L\)-fuzzy topological space ⋮ A lattice-theoretical characterization of the family of cut sets of interval-valued fuzzy sets ⋮ On fuzzy neighborhood modules and algebra ⋮ Fuzzy syntopogenous structures compatible with Lowen fuzzy uniformities and Artico-Moresco fuzzy proximities ⋮ A comparison of various uniformities in fuzzy topology. ⋮ Stability under Homeomorphisms in FTS ⋮ Lowen spaces ⋮ SIERPINSKI OBJECTS IN SUBCATEGORIES OF FTS ⋮ Dual fuzzy neighbourhood spaces. I ⋮ On regularity axioms in fuzzy neighbourhood spaces ⋮ Sequential convergence in fuzzy neighborhood spaces ⋮ Fuzzy metric neighbourhood spaces ⋮ Strictly minimal fuzzy neighborhood division rings ⋮ Invariant probabilistic metrizability of fuzzy neighbourhood groups ⋮ Pseudo-closure operators in fuzzy neighbourhood-base spaces ⋮ THE SUBSPACE PROBLEM IN THE TRADITIONAL POINT-SET CONTEXT OF FUZZY TOPOLOGY ⋮ On \(L\)-fuzzy topological spaces ⋮ \(I(L)\)-topological vector spaces and its level topological spaces ⋮ A short note on fuzzy neighbourhood spaces ⋮ 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 ⋮ The cutting of compositions ⋮ Categories isomorphic to FNS ⋮ Alternative characterizations of \(\mathbf{FNCS}\) ⋮ A short note on fuzzy neighbourhood convergence spaces ⋮ Generalised filters. I ⋮ Some categorical aspects of fuzzy topology ⋮ Characterizations of some fuzzy topological notions in probabilistic metric spaces ⋮ Some properties of fuzzy neighborhood normed linear spaces ⋮ Conditions on a semigroup to be a fuzzy neighborhood group ⋮ Fuzzy \(T\)-neighbourhood spaces. III: \(T\)-separation axioms ⋮ On \(R_ 0\) and \(R_ 1\) fuzzy topological spaces: A counterexample ⋮ Construction of fuzzy topology by using fuzzy metric ⋮ The categorical topology approach to fuzzy topology and fuzzy convergence ⋮ ON THE RELATIONSHIPS BETWEEN VARIOUS LATTICE-VALUED TOPOLOGICAL GROUPS AND THEIR UNIFORMITIES ⋮ Mathematics and fuzziness, some personal reflections
Cites Work
- On separation axioms in fuzzy topological spaces, fuzzy neighborhood spaces, and fuzzy uniform spaces
- Fuzzy sets and systems. Theory and applications
- Fuzzy neighborhood spaces
- Fuzzy topological spaces and fuzzy compactness
- A comparison of different compactness notions in fuzzy topological spaces
- Convergence in fuzzy topological spaces
- Unnamed Item
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