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Proyecciones (Antofagasta), 2022 We define the sequential fuzzy closure and sequential fuzzy interior of fuzzy subsets of $ I^{X} $ by convergence of sequences of fuzzy points. We characterize the fuzzy sequential topology with the sequential fuzzy closure. Furthermore, we compare this topology with the usual fuzzy topology, and prove some basic properties of these concepts.
Hassani, Rachid Ameziane +3 more
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Fuzzy and l-Fuzzy Subset in a Locally Convex Topology
Walailak Journal of Science and Technology, 2014 In this paper, the concepts of sectional fuzzy continuous mappings, and l-fuzzy compact sets, are introduced in locally convex topology generated by fuzzy n-norms.
Sayed Khalil ELAGAN, Rabha Waell IBRAHIM
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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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Fuzzy topology and fuzzy geometry of the topological concepts
IOP Conference Series: Materials Science and Engineering, 2020 Abstract The typical approach to analyze the images in terms of recognition and further interpretation is to obtain an extension of the conventional geometry to the fuzzy case. The fuzzy geometry, which consists of the topological and geometrical structures such as connectedness, adjacency, principle of surrounded-ness (areas seen as ...
Djavanshir Gadjiev, Aligadzhi Rustanov
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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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Fuzzy topological entropy of fuzzy continuous functions on fuzzy topological spaces
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Uzzal Afsan, B.M., Basu, C.K.
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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 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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