Results 151 to 160 of about 62,467 (188)
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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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Fuzzy topological vector spaces I
Fuzzy Sets and Systems, 1981This is a continuation of ibid. 6, 85-95 (1981; Zbl 0463.46009). It is shown that a topology \(\tau\), on a vector space E, is linear iff the fuzzy topology \(\omega\) (\(\tau)\), consisting of all \(\tau\)-lower semicontinuous fuzzy sets, is linear. The fuzzy seminormed and the fuzzy normed linear spaces are introduced and some of their properties are
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Fuzzy topology generated by fuzzy norm
2016Summary: In the current paper, consider the fuzzy normed linear space \((X,N)\) which is defined by \textit{T. Bag} and \textit{S. K. Samanta} [Fuzzy Sets Syst. 151, No. 3, 513--547 (2005; Zbl 1077.46059)]. First, we construct a new fuzzy topology on this space and show that these spaces are Hausdorff locally convex fuzzy topological vector space. Some
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2012
In the present paper we introduce the topological structure of fuzzy soft sets and fuzzy soft continuity of fuzzy soft mappings. We show that a fuzzy soft topological space gives a parametrized family of fuzzy topological spaces. Furthermore, with the help of an example it is shown that the constant mapping is not continuous in general.
VAROL, Banu Pazar, AYGÜN, Halis
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In the present paper we introduce the topological structure of fuzzy soft sets and fuzzy soft continuity of fuzzy soft mappings. We show that a fuzzy soft topological space gives a parametrized family of fuzzy topological spaces. Furthermore, with the help of an example it is shown that the constant mapping is not continuous in general.
VAROL, Banu Pazar, AYGÜN, Halis
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Fuzzy Sets and Systems, 1985
Topological automata are generalized to the case that the underlying topological spaces are fuzzy topological spaces. In a natural way this gives a category of fuzzy topological automata with the category of topological automata as a full subcategory.
Topencharov, Vladimir V. +1 more
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Topological automata are generalized to the case that the underlying topological spaces are fuzzy topological spaces. In a natural way this gives a category of fuzzy topological automata with the category of topological automata as a full subcategory.
Topencharov, Vladimir V. +1 more
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