Results 221 to 230 of about 6,773 (260)
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Topological Theory of Fuzziness

1999
The 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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L-fuzzy preproximities and L-fuzzy topologies

Information Sciences, 2005
zbMATH 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, 1999
The 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, 2013
This 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, 2018
This 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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Fuzzy algebras as a framework for fuzzy topology

Fuzzy Sets and Systems, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy topology generated by fuzzy norm

2016
Summary: 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 connectedness in intuitionistic fuzzy topological spaces

Fuzzy Sets and Systems, 2000
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Necla Turanli, Dogan Çoker
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Fuzzy Preorder, Fuzzy Topology and Fuzzy Transition System

2013
The 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 soft topology

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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