Results 131 to 140 of about 6,351 (164)
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Fuzzy preorder and fuzzy topology
Fuzzy Sets and Systems, 2006The paper deals mainly with fuzzy preorder; to be more specific, the categorical aspects of the interrelationship between fuzzy preorder, topological spaces, and fuzzy topological spaces is investigated. The authors delineate basic properties of continuous t-norms and concrete adjoint functors at the beginning; with a brief review on the connection ...
Lai, Hongliang, Zhang, Dexue
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Fuzzy topology on fuzzy sets and tolerance topology
Fuzzy Sets and Systems, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chakraborty, M. K., Ahsanullah, T. M. G.
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Fuzzy Sets and Systems, 1992
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Hazra, R. N. +2 more
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Hazra, R. N. +2 more
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The categorical topology approach to fuzzy topology and fuzzy convergence
Fuzzy Sets and Systems, 1991The aim of this article is to look at fuzzy topology from the viewpoint of categorical topology. Starting with FTS (the category of fuzzy topological spaces) [\textit{R. Lowen}, J. Math. Analysis Appl. 56, 621-633 (1976; Zbl 0342.54003)] the authors determine which subcategories of FTS, for instance, TOP (the category of topological spaces), FNS (the ...
Lowen, E., Lowen, R., Wuyts, P.
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FUZZY CHU SPACES AND FUZZY TOPOLOGIES
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004We show that each fuzzy (or in general L-) topological space can be represented as a fuzzy (or an L-) Chu space. Further, this representation preserves products, coproducts, tensor products, and hom-sets (together with the structures they are enriched with).
Srivastava, Arun K., Tiwari, S. P.
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Fuzzy Sets and Systems, 1991
The concept of \(L\)-fuzzy topological groups is introduced as follows: Let \(X\) be a group and \(J\) be an \(L\)-fuzzy topology on \(X\). The pair \((X,J)\) is said to be an \(L\)-fuzzy topological group, if and only if the following conditions are satisfied: (a) The mapping \(g: (x,y)\to xy\) of the product \(L\)-fuzzy topological space \((X,J ...
Yu, Chunhai, Ma, Jiliang
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The concept of \(L\)-fuzzy topological groups is introduced as follows: Let \(X\) be a group and \(J\) be an \(L\)-fuzzy topology on \(X\). The pair \((X,J)\) is said to be an \(L\)-fuzzy topological group, if and only if the following conditions are satisfied: (a) The mapping \(g: (x,y)\to xy\) of the product \(L\)-fuzzy topological space \((X,J ...
Yu, Chunhai, Ma, Jiliang
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Fuzzy Sets and Systems, 1993
The \(T\)-product \(\tau_ 1 \otimes_ T \tau_ 2\) on \(X_ 1 \times X_ 2\) of fuzzy topological spaces \((X_ 1, \tau_ 1)\) and \((X_ 2, \tau_ 2)\) is defined. Some properties of the \(T\)-product are proved. The projection mappings \(p_ i : {(X_ 1 \times X_ 2, \tau_ 1 \otimes_ T \tau_ 2)}\) \(\to (X_ i, \tau_ i)\), \(i = 1,2\), are continuous. If \((X_ i,
Chaudhuri, A. K., Das, P.
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The \(T\)-product \(\tau_ 1 \otimes_ T \tau_ 2\) on \(X_ 1 \times X_ 2\) of fuzzy topological spaces \((X_ 1, \tau_ 1)\) and \((X_ 2, \tau_ 2)\) is defined. Some properties of the \(T\)-product are proved. The projection mappings \(p_ i : {(X_ 1 \times X_ 2, \tau_ 1 \otimes_ T \tau_ 2)}\) \(\to (X_ i, \tau_ i)\), \(i = 1,2\), are continuous. If \((X_ i,
Chaudhuri, A. K., Das, P.
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Fuzzy topology on fuzzy sets: Product fuzzy topology and fuzzy topological groups
Fuzzy Sets and Systems, 1998Considering the notion of fuzzy topology on fuzzy sets [\textit{M. K. Chakraborty} and \textit{T. M. G. Ahsanullah}, ibid. 45, No. 1, 103-108 (1992; Zbl 0754.54004)] the present author introduces the concept of product fuzzy topology and investigates the product invariance of fuzzy Hausdorffness, compactness and connectedness.
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Fuzzy Sets and Systems, 2010
\textit{D. H. Foster} [J. Math. Anal. Appl. 67, 549--564 (1979; Zbl 0409.22001)] first introduced the notion of fuzzy topological groups. In the present paper, the concept of \(I\)-fuzzy topological groups is introduced and fundamental framework of \(I\)-fuzzy topological groups is established.
Yan, Cong-Hua, Guo, Sheng-Zhang
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\textit{D. H. Foster} [J. Math. Anal. Appl. 67, 549--564 (1979; Zbl 0409.22001)] first introduced the notion of fuzzy topological groups. In the present paper, the concept of \(I\)-fuzzy topological groups is introduced and fundamental framework of \(I\)-fuzzy topological groups is established.
Yan, Cong-Hua, Guo, Sheng-Zhang
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L-fuzzy preproximities and L-fuzzy topologies
Information Sciences, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Yong Chan, Min, Kyung Chan
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