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Based On The Synthesis And Decomposition Of The Formal Context Of Object-oriented And Attribute-oriented Concept Lattice Generated

Posted on:2011-03-17Degree:MasterType:Thesis
Country:ChinaCandidate:G YaoFull Text:PDF
GTID:2190360305959608Subject:Applied Mathematics
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Concept lattice theory (also called Formal Concept Analysis), proposed by R. Wille in 1982, is a method for data analysis used in finding, ordering and displaying of concepts. The basic term of "concept" is developed from the concept of philosophy. In philosophy, concept is understood as a thought unit which is composed by extension and intention. Gediga, G, Duntsh, I. and Yao, Y. Y. introduced approximation operator of Rough Set Theory into the theory of concept lattices, and presented object oriented concept lattices and property oriented concept lattices respectively. The thesis was accomplished on the basis of that.This paper mainly studies the construction methods of object oriented concept lattices and property oriented concept lattices when combining and decomposing formal contexts. The major results are:1. Construction of object oriented concept lattices through the combination and decomposition of classic formal contexts. Firstly, construction of object concept lattice theory from combination of formal contexts, and then, construction of object concept lattice theory from sub-formal contexts. Finally, the generalization is given.2. Construction of property oriented concept lattices through the combination and decomposition of classic formal contexts. Firstly, construction of property concept lattice theory from combination of formal contexts, and then, construction of property concept lattice theory from sub-formal contexts. Finally, the generalization is given.
Keywords/Search Tags:Formal contexts, formal concept, combination, object oriented concept lattices, property oriented concept lattices
PDF Full Text Request
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