Results 11 to 20 of about 9,774 (301)
Abstract Concept Lattices [PDF]
, 2011 We present a view of abstraction based on a structure preserving reduction of the Galois connection between a language L of terms and the powerset of a set of instances O. Such a relation is materialized as an extension-intension lattice, namely a concept lattice when L is the powerset of a set P of attributes. We define and characterize an abstraction
Henry Soldano, Véronique Ventos
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Uncertain reasoning in concept lattices
, 1995 This paper presents concept lattices as a natural representation of class hierarchies in object-oriented databases and frame based knowledge representations. We show how to extend concept lattices by uncertainty in the form of conditional probabilities.
Lukasiewicz, Thomas, Thomas Lukasiewicz
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Electronic Notes in Theoretical Computer Science, 2009 AbstractFormal concept analysis and rough set theory provide two different methods for data analysis and knowledge processing. Given a context K, one can get the concept lattice L(K) in Wille's sense and the object-oriented rough concept lattice RO-L(K) (resp., attribute-oriented RA-L(K)).
Lingyun Yang, Luoshan Xu
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On Concept Lattices as Information Channels [PDF]
, 2014 Proceedings of: 11th International Conference on Concept Lattices and Their Applications (CLA 2014). Kosice, Slovakia, October 07-10, 2014. This paper explores the idea that a concept lattice is an information channel between objects and attributes. For this purpose we study the behaviour of incidences in L-formal contexts where L is the range of an ...
Francisco José Valverde Albacete +2 more
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Relationship Between Attribute (Object) Oriented Multi-Granularity Concept Lattices
Jisuanji kexue yu tansuo, 2020 According to the inspiration of research on multi-granularity marker information system in rough set, for the formal background of multi-granularity marker, concept lattices made by different granularity markers have connections.
YANG Han, QIN Keyun
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On generalized topological molecular lattices [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices, topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces.
Narges Nazari, Ghasem Mirhosseinkhani
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Survey on attribute and concept reduction methods in formal concept analysis
, 2023 Formal concept analysis (FCA) is now widely recognized as a useful approach for extracting, representing, and analyzing knowledge in various domains. The high computational cost of knowledge processing and the difficulty of visualizing the lattice are ...
Kovács, László +3 more
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On α-Multiplier on Almost Distributive Lattices
Journal of Mathematics, 2021 In this paper, we initiate the concept of α-multiplier on almost distributive lattices. We prove some useful results by using the notion of α-multiplier and generalize the idea of multiplier on almost distributive lattices.
Ying Wang +5 more
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Gradation of Fuzzy Preconcept Lattices
Axioms, 2021 Noticing certain limitations of concept lattices in the fuzzy context, especially in view of their practical applications, in this paper, we propose a more general approach based on what we call graded fuzzy preconcept lattices.
Alexander Šostak +2 more
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Horn representation of a concept lattice [PDF]
International Journal of General Systems, 2009 Concept lattices are the central notion of formal concept analysis. They are applied in many different areas such as data mining, knowledge representation or ontology engineering and are subject to ongoing research. In order to better understand the nature of concept lattices, it is useful to consider their links to other mathematical notions.
Kamel Ben-Khalifa, Susanne Motameny
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