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A lattice-free concept lattice update algorithm
International Journal of General Systems, 2015Upon a change of input data, one usually wants an update of output computed from the data rather than recomputing the whole output over again. In Formal Concept Analysis, update of concept lattice of input data when introducing new objects to the data can be done by any of the so-called incremental algorithms for computing concept lattice.
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Variable threshold concept lattices
Information Sciences, 2007A fuzzy formal context may be defined as a triple \((U,A,\tilde I)\) with \(U\) and \(A\) finite sets (of objects and of attributes, respectively), and \(\tilde I\colon U \times A \to L\) a binary fuzzy relation, where \(L\) is the unit interval \([0,1]\).
Wen-Xiu Zhang, Jianmin Ma, Shi-Qing Fan
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Similarity relations in concept lattices
Journal of Logic and Computation, 2000The paper deals with fuzzy concept lattices [cf. \textit{A. Burusco Juandeaburre} and \textit{R. Fuentes-González}, Mathware Soft Comput. 1, 209-218 (1994; Zbl 0827.06004), and \textit{S. Pollandt}, Fuzzy-Begriffe. Formale Begriffsanalyse unscharfer Daten, Springer, Berlin (1997; Zbl 0870.06008)] arising from Formal Concept Analysis [cf.
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Concept Lattice and AFS Algebra
2006Formal concept analysis is a field of applied mathematics based on mathematical analysis of concept and conceptual hierarchy,AFS algebra was first proposed and studied by Xiaodong Liu 1998 ( Journal of Mathematical Analysis and Applications, vol. 217, Fuzzy Sets and Systems, vol. 95 )[1,2].
Lishi Zhang, Xiaodong Liu 0001
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Generalizations of Approximable Concept Lattice
2008B. Ganter, R. Wille initiated formal concept analysis. Concept lattice is one of the main notions and tools. Some researchers have investigated the fuzzification of the classical crisp concept lattice. One of them was shown by R. Belohlavek: concept lattice in fuzzy setting. The second one was given by S. Krajci: generalized concept lattice.
Xueyou Chen +3 more
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Similarity Measures on Concept Lattices
2016This paper falls within the framework of Formal Concept Analysis which provides classes (the extents) of objects sharing similar characters (the intents), a description by attributes being associated to each class. In a recent paper by the first author, a new similarity measure between two concepts in a concept lattice was introduced, allowing for a ...
Florent Domenach, George Portides
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Which Concept Lattices Are Pseudocomplemented?
2005We give a contextual characterization of pseudocomplementation by means of the arrow relations.
Bernhard Ganter, Léonard Kwuida
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Rough Sets and Concept Lattices
1994A Concept lattice is a special kind of lattice, the explicit representation of which can be viewed as a semantic network with special properties. Concept lattices have been applied to Machine Learning as well as to the uncovering of the underlying structure in discrete-valued data. They also embody the cladistic approach to classification.
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EMBEDDING OF CONCEPT LATTICE INTO ITS MIXED CONCEPT LATTICE
Advances in Mathematics: Scientific Journal, 2020H. S. Ramananda, A. J. Harsha
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