Results 261 to 270 of about 8,871 (303)
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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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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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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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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 topological invariants in uniform fuzzy graphs
Journal of Intelligent & Fuzzy Systems, 2023In this paper, we have defined some fuzzy topological invariants for particular types of uniform fuzzy graph. Some particular useful types of uniform fuzzy graphs are Uniform Edge Fuzzy Graph, Uniform Vertex Fuzzy Graph, Uniform Vertex-Edge Fuzzy Graph and Totally Uniform Fuzzy Graph. For each particular type we have defined different kinds of degrees
Hao Guan +4 more
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L-fuzzy preproximities and L-fuzzy topologies
Information Sciences, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong Chan Kim, Kyung Chan Min
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The fuzzy topological spaces on a fuzzy space
Fuzzy Sets and Systems, 1999The author proposes a definition of fuzzy topology. In this definition a notion of fuzzy topology is considered on a fuzzy subspace [\textit{K. A. Dib}, Inf. Sci. 80, No. 3-4, 253-282 (1994; Zbl 0832.20088)] as a collection of fuzzy subspaces satisfying conditions similar to Chang-fuzzy topology [\textit{C. L. Chang}, J. Math. Anal. Appl.
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Fuzzy rough sets, fuzzy preorders and fuzzy topologies
Fuzzy Sets and Systems, 2013This paper shows that observations made by different authors at different times regarding one-to-one correspondence between the family of fuzzy preorders on a nonempty set and the family of all fuzzy topologies on this set satisfying certain extra conditions are essentially equivalent.
S. P. Tiwari, Arun K. Srivastava
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A new model of fuzzy topology: I -fuzzy topological polygroups
Journal of Intelligent & Fuzzy Systems, 2018This paper provides a new connection between algebraic hyperstructures and fuzzy sets. We present the concept of I -fuzzy topological polygroups and prove some properties. The concept of I -fuzzy topological polygroups is a generalization of the concept
N. Abbasizadeh, Bijan Davvaz
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Topological Theory of Fuzziness
1999The intention of this article is to show how fuzzy set theory fits into classical topology. The basic concepts are filter and ideal bases and morphisms on these. Filter bases are used to define abstract distances. Then compositions and comparisons of filter and ideal bases are considered and uniform neighborhood measures between such bases are ...
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