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On level-topologies and maximality of fuzzy topological spaces
Fuzzy Sets and Systems, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a topological model for the category of fuzzy topological spaces II
Fuzzy Sets and Systems, 1989For a given map \(U:X\to [0,1]\), let \(H(U)=\{(x,t)\in X\times [0,1 ...
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The general fuzzy filter approach to fuzzy topology, II
Fuzzy Sets and Systems, 1995The author introduces and investigates a general notion of fuzzy filters (representable by prefilter families), types of fuzzy filters, (sub-)bases of fuzzy filters, fuzzy ultrafilters, principal fuzzy filters and fuzzy filter monad, extending the notions in [\textit{P.
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On extensions of fuzzy topologies
Kybernetika, 1992Summary: We introduce the concept of extension of fuzzy topologies. If \((X,T)\) is a fuzzy topological space having the property `\(P\)' we find conditions under which the extension of \(T\) will also have the same property `\(P\)'.
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Kybernetika, 1995
Summary: We introduce and study maximal fuzzy \(P\)-spaces where \(P\) is fuzzy Lindelöf, fuzzy countably compact, fuzzy compact, fuzzy lightly compact or fuzzy strongly compact. Characterizations are given for maximal fuzzy \(P\)-spaces where \(P\) is fuzzy Lindelöf, fuzzy countably compact, fuzzy compact, or fuzzy strongly compact.
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Summary: We introduce and study maximal fuzzy \(P\)-spaces where \(P\) is fuzzy Lindelöf, fuzzy countably compact, fuzzy compact, fuzzy lightly compact or fuzzy strongly compact. Characterizations are given for maximal fuzzy \(P\)-spaces where \(P\) is fuzzy Lindelöf, fuzzy countably compact, fuzzy compact, or fuzzy strongly compact.
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Compactness in fuzzy (fuzzy supra) topological spaces
Fuzzy Sets and Systems, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Metric Topology of Fuzzy Numbers and Fuzzy Analysis
2000This chapter gives an overview of distances between fuzzy numbers and the topology that these metrics induce. The metric structure allows the development of fuzzy analysis and various applications to interpolation, approximation and differential equations.
Diamond, P. M., Kloeden, P.
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Fuzzy Topological Spaces Generated by Fuzzy Digraphs
New Mathematics and Natural ComputationIn this paper, we defined various fuzzy topological spaces on fuzzy digraph and study interrelation between them. Using adjacency relation on fuzzy vertices and fuzzy edges of fuzzy digraph we defined, namely two types of fuzzy topologies, left(right) fuzzy vertex topology and left(right) fuzzy edge topology on fuzzy digraph, respectively.
P. S. Gholap +2 more
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Topological Approach to Fuzzy Sets and Fuzzy Logic
1999We show how fuzzy set theory and fuzzy logic can be described by classical topology. The basic concepts are filter and ideal bases and morphisms on these. Logics are introduced as hierarchies of valuated objects and the valuations are uniformly topologized to represent approximations to logical terms.
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Topology Learning-Based Fuzzy Random Neural Networks for Streaming Data Regression
IEEE Transactions on Fuzzy Systems, 2022, Hang Yu, Guangquan Zhang
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