Results 251 to 260 of about 717,766 (291)
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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 ...
Hongliang Lai, Dexue Zhang
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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.
Pratulananda Das
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Fuzzy topology generated by fuzzy norm
Fuzzy Sets and Systems, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. R. Das, Pankaja Das
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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 ...
R Lowen, P Wuyts
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On the method of neighborhood systems in fuzzy topology
Fuzzy Sets and Systems, 1994 In this paper, we revivify the theory of neighborhood systems in fuzzy topology with the method used to develop fuzzifying topology and find another kind of reasonable neighborhood structure in fuzzy topology except quasineighborhood systems of Pu and ...
Mingsheng Ying
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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).
Arun K. Srivastava, S. P. Tiwari
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Fuzzy Sets and Systems, 2000
This is one of four papers in which the authors develop a theory of extended fuzzy topologies based on fuzzy stacks [J. Fuzzy Math. 6, No. 1, 223-261 (1998; Zbl 0909.54003); ibid., No. 3, 539-574 (1998; Zbl 0913.54007); 575-608 (1998; Zbl 0913.54008)].
Werner Gähler +2 more
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This is one of four papers in which the authors develop a theory of extended fuzzy topologies based on fuzzy stacks [J. Fuzzy Math. 6, No. 1, 223-261 (1998; Zbl 0909.54003); ibid., No. 3, 539-574 (1998; Zbl 0913.54007); 575-608 (1998; Zbl 0913.54008)].
Werner Gähler +2 more
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2002
This work is an introductory investigation, on the lines of [9] and [10], into some topological aspects of fuzzy machines (studied in [4-8]), wherein we introduce a topology on the state-set of a fuzzy automaton and use it, together with some standard topological results, to deduce some fuzzy automata theoretic results given in [4-8].
Arun K. Srivastava, S. P. Tiwari
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This work is an introductory investigation, on the lines of [9] and [10], into some topological aspects of fuzzy machines (studied in [4-8]), wherein we introduce a topology on the state-set of a fuzzy automaton and use it, together with some standard topological results, to deduce some fuzzy automata theoretic results given in [4-8].
Arun K. Srivastava, S. P. Tiwari
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Fuzzy Sets and Systems, 2005
This paper concerns the development of the theory of \(L\)-fuzzy topological spaces in the sense of Hutton and Höhle, where \(L\) denotes a completely distributive lattice. To every \(L\)-fuzzy set in a universe \(X\) a degree (belonging to \(L\)) has been assigned so that contrastedly to Chang's original definition a fuzzy set is no longer open or not
Jie Zhang, Fu-Gui Shi, Chong-You Zheng
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This paper concerns the development of the theory of \(L\)-fuzzy topological spaces in the sense of Hutton and Höhle, where \(L\) denotes a completely distributive lattice. To every \(L\)-fuzzy set in a universe \(X\) a degree (belonging to \(L\)) has been assigned so that contrastedly to Chang's original definition a fuzzy set is no longer open or not
Jie Zhang, Fu-Gui Shi, Chong-You Zheng
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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.
Cong-Hua Yan, Sheng-zhang Guo
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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.
Cong-Hua Yan, Sheng-zhang Guo
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