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Almost compactness in fuzzy topological spaces
Fuzzy Sets and Systems, 1984 This paper discusses almost compactness in fuzzy topology and we introduce near compactness for fuzzy topological spaces. We give some characterizations of almost compactness in terms of regular open or regular closed fuzzy sets.
G. G. Gerla, DI CONCILIO, Anna
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Quotient fuzzy topological spaces
Fuzzy Sets and Systems, 2001The author proves that a continuous function \(f\) which maps a topological space \((X,\tau)\) to another topological space \((Y,\eta)\) is a quotient map if and only if \(f:(X,\omega(\tau))\to (Y,\omega (\eta))\) is a quotient map, where \(\omega\) denotes the Lowen functor from the category of topological spaces to that of fuzzy topological spaces ...
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θ-Compact fuzzy topological spaces
Chaos, Solitons & Fractals, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Caldas, M., Jafari, Saeid
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Connectedness in -fuzzy topological spaces
Fuzzy Sets and Systems, 2000Let \(L\) be a completely distributive lattice with an order-reversing involution and \((L^X, \delta)\) be an \(L\)-topological space, that is, \(\delta\) is a subset of \(L^X\) closed under finite infs and arbitrary sups. For each prime \(a\in L\), \(\iota_a(\delta) = \{\iota_a(\lambda) \mid \lambda\in\delta\}\) is a topology on \(X\), called the \(a\)
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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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Sums of L-fuzzy topological spaces
Fuzzy Sets and Systems, 2006This paper continues the work of \textit{R. Lowen} [J. Math. Anal. Appl. 58, 11--21 (1977; Zbl 0347.54002)], \textit{U. Höhle} and \textit{A. Sostak} [Mathematics of fuzzy sets. Logic, topology, and measure theory. Dordrecht: Kluwer Academic Publishers. Handb. Fuzzy Sets Ser. 3, 123--272 (1999; Zbl 0977.54006)], \textit{S. E. Rodabaugh} [ibid. 273--388
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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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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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2001
Topology has its roots in geometry and analysis. From a geometric point of view, topology was the study of properties preserved by a certain group of transformations, namely the homeomorphisms. Certain notions of topology are also abstractions of classical concepts in the study of real or complex functions. These concepts include open sets, continuity,
John N. Mordeson, Premchand S. Nair
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Topology has its roots in geometry and analysis. From a geometric point of view, topology was the study of properties preserved by a certain group of transformations, namely the homeomorphisms. Certain notions of topology are also abstractions of classical concepts in the study of real or complex functions. These concepts include open sets, continuity,
John N. Mordeson, Premchand S. Nair
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On the Topological Structure of KM Fuzzy Metric Spaces and Normed Spaces
IEEE Transactions on Fuzzy Systems, 2020Jian-Zhong Xiao, Xing-Hua Zhu
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