Results 21 to 30 of about 6,773 (260)
On Bipolar Fuzzy Gradation of Openness
Mathematics, 2020 The concept of bipolar fuzziness is of relatively recent origin where in addition to the presence of a property, which is done in fuzzy theory, the presence of its counter-property is also taken into consideration.
Subhadip Roy +4 more
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Countable Fuzzy Topological Space and Countable Fuzzy Topological Vector Space
Journal of Mathematical and Fundamental Sciences, 2015 This paper deals with countable fuzzy topological spaces, a generalization of the notion of fuzzy topological spaces. A collection of fuzzy sets F on a universe X forms a countable fuzzy topology if in the definition of a fuzzy topology, the condition of
Apu Kumar Saha, Debasish Bhattacharya
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Characterization of convergence in fuzzy topological spaces
International Journal of Mathematics and Mathematical Sciences, 1985 In a fuzzy topology on a set X, the limit of a prefilter (i.e. a filter in the lattice [0,1]X) is calculated from the fuzzy closure. In this way convergence is derived from a fuzzy topology.
E. Lowen, R. Lowen
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Novel Characterizations of $LM$-Fuzzy Open Operators [PDF]
Transactions on Fuzzy Sets and Systems, 2022 In this paper, we present some characterizations of the $LM$-fuzzy interior operator, the $LM$-fuzzy closure operator, $LM$-fuzzy semiopen operator and $LM$-fuzzy preopen operator in an $LM$-fuzzy topological space.
Fu-Gui Shi
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On Metrization of the Topologies Induced by Fuzzy Metrics
Journal of Mathematics, 2020 In this paper, we focus on finding the metric functions in a fuzzy metric space. After introducing the concept of a stratified function in a fuzzy metric space, we prove that the topology generated by the family of stratified functions coincides with the
Jianrong Wu, Hao Yang
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Fuzzy Granule Manifold Alignment Preserving Local Topology
IEEE Access, 2020 Granular computing has the advantage of discovering complex data knowledge, and manifold alignment has proven of great value in a lot of areas of machine learning.
Wei Li +6 more
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A Duality Relationship Between Fuzzy Partial Metrics and Fuzzy Quasi-Metrics
Mathematics, 2020 In 1994, Matthews introduced the notion of partial metric and established a duality relationship between partial metrics and quasi-metrics defined on a set X.
Valentín Gregori +2 more
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Connecting Fuzzifying Topologies and Generalized Ideals by Means of Fuzzy Preorders
International Journal of Mathematics and Mathematical Sciences, 2009 The present paper investigates the relations between fuzzifying topologies and generalized ideals of fuzzy subsets, as well as constructing generalized ideals and fuzzifying topologies by means of fuzzy preorders.
G. Elsalamony
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A novel approach to nano topology via neutrosophic sets [PDF]
Neutrosophic Sets and Systems, 2018 The main objective of this study is to introduce a new hybrid intelligent structure called Neutrosophic nano topology. Fuzzy nano topology and intuitionistic nano topology can also be deduced from the neutrosophic nano topology. Based on the neutrosophic
M. Lellis Thivagar +3 more
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Topological relations between fuzzy regions in a fuzzy topological space
International Journal of Applied Earth Observation and Geoinformation, 2010 Abstract Topological relations are one of the most important aspects in GIS modeling. The topological relations between crisp spatial objects have been well identified. However, the topological relations between fuzzy spatial objects need more investigation. This paper deals with building a special fuzzy topological space for fuzzy sets. Based on it,
Xinming Tang +2 more
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