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Decomposition of Relations and Concept Lattices
Fundamenta Informaticae, 2013We introduce the decomposition of an arbitrary relation into a sequential composition of three relations, viz. of a mapping with a partial order and then the transpose of a mapping. After presenting some basic properties, we investigate the specific classes of junkfree, irreducible and minimal decompositions and show that for all relations a minimal ...
Berghammer, Rudolf, Winter, Michael
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A note on bipolar fuzzy graph representation of concept lattice
International Journal of Computing Science and Mathematics, 2014Formal concept analysis (FCA) is a mathematical model based on lattice theory. FCA is successfully extended from crisp setting to fuzzy setting as well as interval-valued fuzzy setting.
Prem Kumar Singh, C. Kumar
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2007
The paper presents theorems characterizing concept lattices which happen to be trees after removing the bottom element. Concept lattices are the clustering/classification systems provided as an output of formal concept analysis. In general, a concept lattice may contain overlapping clusters and need not be a tree.
Radim Belohlavek +3 more
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The paper presents theorems characterizing concept lattices which happen to be trees after removing the bottom element. Concept lattices are the clustering/classification systems provided as an output of formal concept analysis. In general, a concept lattice may contain overlapping clusters and need not be a tree.
Radim Belohlavek +3 more
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1999
The basic notions of Formal Concept Analysis are those of a formal context and a formal concept. The adjective “formal” is meant to emphasize that we are dealing with mathematical notions, which only reflect some aspects of the meaning of context and concept in standard language.
Bernhard Ganter, Rudolf Wille
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The basic notions of Formal Concept Analysis are those of a formal context and a formal concept. The adjective “formal” is meant to emphasize that we are dealing with mathematical notions, which only reflect some aspects of the meaning of context and concept in standard language.
Bernhard Ganter, Rudolf Wille
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Research on sub-concept lattice in concept lattice
Journal of Convergence Information Technology, 2012Hongsheng Xu -, Lingli Zhu -
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Concept Granular System and Granular Concept Lattice
2008 The 9th International Conference for Young Computer Scientists, 2008This paper, based on the authorpsilas new model of granular computing--the theory of granular set, puts forward the concept of granular family, granular system, concept granular system, granular concept, through upgrading the mapping to the power set and mapping from one-way to two-way.
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Quotient lattice and incremental construction of concept lattices
The 2nd International Conference on Information Science and Engineering, 2010Concept lattice which is the core data structure in formal concept analysis has proved to be a useful tool in many applied domains: machine learning, software engineering and information retrieval, etc. The problem of constructing concept lattices is extensively studied and among various kinds of algorithms published so far, incremental ones which ...
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A method of multimedia teaching evaluation based on fuzzy linguistic concept lattice
Multimedia tools and applications, 2019Pengsen Liu +4 more
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Neighborhood based concept lattice
Applied Intelligence, 2022Han Yang, Keyun Qin, Qian Hu, Lei Yang
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