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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 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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Fuzzy Preorder, Fuzzy Topology and Fuzzy Transition System
2013The purpose of this work is to show that the observations made regarding fuzzy transition systems can be easily obtained by using the fuzzy preordered and fuzzy topological concepts.
S. P. Tiwari, Anupam K. Singh
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Fuzzy connectedness in intuitionistic fuzzy topological spaces
Fuzzy Sets and Systems, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Turanli, NECLA, COKER, DOĞAN
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Intuitionistic Fuzzy Automata and Associated Fuzzy Topologies
2007 International Conference on Computing: Theory and Applications (ICCTA'07), 2007It is shown that two intuitionistic fuzzy topologies can be associated with an intuitionistic fuzzy automata which have interesting relationships with of the two fuzzy topologies, induced by the above the topologies introduced in (A.K.
Arun K. Srivastava, S. P. Tiwari
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Fuzzy topology on fuzzy sets: fuzzy semicontinuity and fuzzy semiseparation axioms
Applied Mathematics and Computation, 2004\textit{C. L. Chang} [J. Math. Anal. Appl. 24, 182--190 (1968; Zbl 0167.51001)] introduced fuzzy topology as a pair \((X,\tau)\), where \(X\) is an ordinary nonempty set, and \(\tau\subseteq I^X\) \((I= [0,1])\) satisfies the usual conditions. In such a setting, the concepts of fuzzy semi-open and semi-closed sets and different separation axioms in ...
F. S. Mahmoud +2 more
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Metric Topology of Fuzzy Numbers and Fuzzy Analysis
2000This chapter gives an overview of distances between fuzzy numbers and the topology that these metrics induce. The metric structure allows the development of fuzzy analysis and various applications to interpolation, approximation and differential equations.
Diamond, P. M., Kloeden, P.
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On level-topologies and maximality of fuzzy topological spaces
Fuzzy Sets and Systems, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a topological model for the category of fuzzy topological spaces II
Fuzzy Sets and Systems, 1989For a given map \(U:X\to [0,1]\), let \(H(U)=\{(x,t)\in X\times [0,1 ...
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The general fuzzy filter approach to fuzzy topology, II
Fuzzy Sets and Systems, 1995The author introduces and investigates a general notion of fuzzy filters (representable by prefilter families), types of fuzzy filters, (sub-)bases of fuzzy filters, fuzzy ultrafilters, principal fuzzy filters and fuzzy filter monad, extending the notions in [\textit{P.
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