Results 161 to 170 of about 62,467 (188)
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Fuzzy topological groups

Fuzzy Sets and Systems, 1984
Analogues in the context of fuzzy topologies are obtained for a number of standard elementary results on topological groups, including preservation of openness under translation, an axiom system for a system of unit neighbourhoods, quotient and subgroup topologies, and the first isomorphism theorem.
Yu, Chunhai, Ma, Jiliang
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Fuzzy Digital Topology

2001
Digital picture processing deals with image compression or enhancement and image analysis. In image compression or enhancement, the output desired is a picture which is an approximation or improvement of the input picture. In image analysis, the desired output is a description of the input picture. In digital pictures, geometric considerations of parts
John N. Mordeson, Premchand S. Nair
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Fuzzy Topological Spaces

2001
Topology has its roots in geometry and analysis. From a geometric point of view, topology was the study of properties preserved by a certain group of transformations, namely the homeomorphisms. Certain notions of topology are also abstractions of classical concepts in the study of real or complex functions. These concepts include open sets, continuity,
John N. Mordeson, Premchand S. Nair
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Fuzzy topological quasigroups

Fuzzy Sets and Systems, 1993
Considering Lowen-fuzzy topology [\textit{R. Lowen}, J. Math. Anal. Appl. 56, 621-633 (1976; Zbl 0342.54003)], the author introduces the notion of fuzzy topological quasigroup, similar notions are introduced earlier by some other authors in case of various algebraic structures. The present author, however, uses Warren-fuzzy neighborhood system [\textit{
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Generated I-fuzzy topological spaces

Fuzzy Sets and Systems, 2005
Let \textbf{TOP} denote the category of topological spaces; [0, 1]-\textbf{TOP} the category of [0, 1]-topological spaces; \textbf{FYS} the category of fuzzifying topological spaces; and [0, 1]-\textbf{FTOP} the category of Ĺ ostak fuzzy topological spaces. The authors construct a pair of functors \(\omega:\) \textbf{FYS}\(\to [0, 1]\)-\textbf{FTOP} and
Yue, Yueli, Fang, Jinming
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Fuzzy topological games. I

1999
The author proposes an extension of pursuit evasion topological games [\textit{R. Telgarsky}, Fundam. Math. 88, 193-223 (1975; Zbl 0311.54025)] onto fuzzy topological spaces. Definitions of fuzzy topological games, fuzzy strategies, fuzzy winning strategies and fuzzy stationary winning strategies are given and some necessary and sufficient conditions ...
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Fully Fuzzy Topology

2003
Fuzzy topology has used a definition which has an L-topological space consisting of a crisp set of fuzzy subsets of a crisp set. The notion of a topological space object in SET(L) provides a generalization of this concept to that of a fuzzy set of fuzzy subsets of a fuzzy set.
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Topology Learning-Based Fuzzy Random Neural Networks for Streaming Data Regression

IEEE Transactions on Fuzzy Systems, 2022
Hang Yu, Jie Lu, Guangquan Zhang
exaly  

Proto-metrizable fuzzy topological spaces

1999
In this paper we define for fuzzy topological spaces a notion corresponding to protometrizable topological spaces. We obtain some properties of these fuzzy topological spaces, particularly we give relations with non-archimedean, and metrizable fuzzy topological spaces.
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