Fuzzy topological spaces
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1968-10-01 and is currently open access. It has received 1997 citations till now. The article focuses on the topics: Topological tensor product & Topological space.read more
Citations
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Fuzzy independent topological spaces generated by fuzzy $$\gamma ^{*}$$-open sets and their applications
TL;DR: This paper aims to propose the third direction that is a new parallel form of fuzzy topology (or a non-linear topology) called fuzzy independent topology which is neither a generalization nor a stronger form of the given fuzzy topological space and is beyond the scope of general topology with the existing generalized open sets in literature.
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Fuzzy SP-irresolute functions
TL;DR: Fuzzy SP-irresolute, fuzzy SP -fuzzy strongly preopen sets open and fuzzy SP-irsolute closed functions between fuzzy topological spaces in Sostak sense are defined and their properties and the relationships are investigated.
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Conuclei and Many Valued Topology
TL;DR: In this paper, the authors lay down the foundations of many valued topology and showed by two examples that these valued topologies enriches general topology. But they did not discuss the relationship between these two topologies.
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Supra fuzzy convergence of fuzzy filters
TL;DR: This work introduces and studies the notions of supra fuzzy convergence of fuzzy filters, sγ-fuzzy open (closed) sets, s δ(sγ∗)-fuzzed continuous and sγ (sγ ∗)- fuzzy continuous and £1.1bn open mapping.
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On the lattice of fuzzy topologies I
TL;DR: It is proved that the lattice of fuzzy topologies is not complemented and some other properties of the lattices F t, the set of all fuzzyTopologies defined by families of lower semicontinuous functions on X, are discussed.
References
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L-fuzzy sets
TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].