Results 141 to 150 of about 6,351 (164)
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Fuzzy topological vector spaces I
Fuzzy Sets and Systems, 1981This is a continuation of ibid. 6, 85-95 (1981; Zbl 0463.46009). It is shown that a topology \(\tau\), on a vector space E, is linear iff the fuzzy topology \(\omega\) (\(\tau)\), consisting of all \(\tau\)-lower semicontinuous fuzzy sets, is linear. The fuzzy seminormed and the fuzzy normed linear spaces are introduced and some of their properties are
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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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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 Sets and Systems, 1985
Topological automata are generalized to the case that the underlying topological spaces are fuzzy topological spaces. In a natural way this gives a category of fuzzy topological automata with the category of topological automata as a full subcategory.
Topencharov, Vladimir V. +1 more
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Topological automata are generalized to the case that the underlying topological spaces are fuzzy topological spaces. In a natural way this gives a category of fuzzy topological automata with the category of topological automata as a full subcategory.
Topencharov, Vladimir V. +1 more
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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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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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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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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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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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Topology Learning-Based Fuzzy Random Neural Networks for Streaming Data Regression
IEEE Transactions on Fuzzy Systems, 2022Hang Yu, Jie Lu, Guangquan Zhang
exaly