Results 281 to 290 of about 7,080 (311)
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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 ...
Lowen, E., Lowen, R., Wuyts, P.
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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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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 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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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, 2005Let \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 Šostak 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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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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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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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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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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Exceptional topology of non-Hermitian systems
Reviews of Modern Physics, 2021Emil J Bergholtz +2 more
exaly
Proto-metrizable fuzzy topological spaces
1999In 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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