Results 41 to 50 of about 6,351 (164)
Scott convergence and fuzzy Scott topology on L-posets
Open Mathematics, 2017 We firstly generalize the fuzzy way-below relation on an L-poset, and consider its continuity by means of this relation. After that, we introduce a kind of stratified L-generalized convergence structure on an L-poset.
Liu Hongping, Chen Ling
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Journal of Mathematical Analysis and Applications, 1984 The authors define fuzzy \(T_ 1\)-topological spaces (X,\(\tau)\) using fuzzy points introduced by \textit{C. K. Wong} [ibid. 46, 316-328 (1974; Zbl 0278.54004)]. \(T_ 1\)-ness is defined as weak separation by fuzzy open sets. The main theorem shows a difference to the topological analogue.
Srivastava, Rekha +2 more
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Mathematics, 2021 Ranking interval-valued fuzzy soft sets is an increasingly important research issue in decision making, and provides support for decision makers in order to select the optimal alternative under an uncertain environment.
Mabruka Ali +2 more
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Weak fuzzy topology on fuzzy topological vector spaces
, 2019 In this paper, we introduce the concept of weak fuzzy linear topology on a fuzzy topological vector space as a generalization of usual weak topology. We prove that this topology consists of all weakly lower semi-continuous fuzzy sets on a given vector space when K (R or C) considered with its usual fuzzy topology.
Daraby, B., Khosravi, N., Rahimi, A.
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International Journal of Mathematics and Mathematical Sciences, 2007 This paper deals with a broad question—to what extent is topology algebraic—using two specific questions: (1) what are the algebraic conditions on the underlying membership lattices which insure that categories for topology and fuzzy topology are indeed ...
S. E. Rodabaugh
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On some applications of fuzzy points
Applied General Topology, 2005 The notion of preopen sets play a very important role in General Topology and Fuzzy Topology. Preopen sets are also called nearly open and locally dense.
Maximilian Ganster +3 more
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Fuzzy properties in fuzzy convergence spaces
International Journal of Mathematics and Mathematical Sciences, 2002 Based on the concept of limit of prefilters and residual implication, several notions in fuzzy topology are fuzzyfied in the sense that, for each notion, the degree to which it is fulfilled is considered.
Gunther Jäger
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Intuitionistic fuzzy proximity spaces
International Journal of Mathematics and Mathematical Sciences, 2004 We introduce the concept of the intuitionistic fuzzy proximity as a generalization of fuzzy proximity, and investigate its properties. Also we investigate the relationship among intuitionistic fuzzy proximity and fuzzy proximity, and intuitionistic fuzzy
Seok Jong Lee, Eun Pyo Lee
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Fuzzy r-continuous and fuzzy r-semicontinuous maps
International Journal of Mathematics and Mathematical Sciences, 2001 We introduce a new notion of fuzzy r-interior which is an extension of Chang's fuzzy interior. Using fuzzy r-interior, we define fuzzy r-semiopen sets and fuzzy r-semicontinuous maps which are generalizations of fuzzy semiopen sets and fuzzy ...
Seok Jong Lee, Eun Pyo Lee
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Fuzzy topology and fuzzy multifunctions
Journal of Mathematical Analysis and Applications, 1985 Some fuzzy topological concepts (F-dense and F-nowhere dense sets, F- boundary, regular f.t.s. and others) are introduced and studied. Some of the results are as follows. If \((X,\tau_ X)\) and \((Y,\tau_ Y)\) are f.t.s. then F-boundary sets are stable under F-continuous surjections \(f: X\to Y\); if in addition f is F-closed then the family of F ...
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