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Fuzzy topological invariants in uniform fuzzy graphs
Journal of Intelligent & Fuzzy Systems, 2023In this paper, we have defined some fuzzy topological invariants for particular types of uniform fuzzy graph. Some particular useful types of uniform fuzzy graphs are Uniform Edge Fuzzy Graph, Uniform Vertex Fuzzy Graph, Uniform Vertex-Edge Fuzzy Graph and Totally Uniform Fuzzy Graph. For each particular type we have defined different kinds of degrees
Hao Guan +4 more
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L-fuzzy preproximities and L-fuzzy topologies
Information Sciences, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong Chan Kim, Kyung Chan Min
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Topological Theory of Fuzziness
1999The intention of this article is to show how fuzzy set theory fits into classical topology. The basic concepts are filter and ideal bases and morphisms on these. Filter bases are used to define abstract distances. Then compositions and comparisons of filter and ideal bases are considered and uniform neighborhood measures between such bases are ...
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The fuzzy topological spaces on a fuzzy space
Fuzzy Sets and Systems, 1999The author proposes a definition of fuzzy topology. In this definition a notion of fuzzy topology is considered on a fuzzy subspace [\textit{K. A. Dib}, Inf. Sci. 80, No. 3-4, 253-282 (1994; Zbl 0832.20088)] as a collection of fuzzy subspaces satisfying conditions similar to Chang-fuzzy topology [\textit{C. L. Chang}, J. Math. Anal. Appl.
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Fuzzy rough sets, fuzzy preorders and fuzzy topologies
Fuzzy Sets and Systems, 2013This paper shows that observations made by different authors at different times regarding one-to-one correspondence between the family of fuzzy preorders on a nonempty set and the family of all fuzzy topologies on this set satisfying certain extra conditions are essentially equivalent.
S. P. Tiwari, Arun K. Srivastava
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A new model of fuzzy topology: I -fuzzy topological polygroups
Journal of Intelligent & Fuzzy Systems, 2018This paper provides a new connection between algebraic hyperstructures and fuzzy sets. We present the concept of I -fuzzy topological polygroups and prove some properties. The concept of I -fuzzy topological polygroups is a generalization of the concept
N. Abbasizadeh, Bijan Davvaz
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Fuzzy algebras as a framework for fuzzy topology
Fuzzy Sets and Systems, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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