The Algebraic Properties of Concept Lattice

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摘要 Conceptlatticeisapowerfultoolfordataanalysis.Ithasbeenappliedwidelytomachinelearning,knowledgediscoveryandsoftwareengineeringandsoon.Someaspectsofconceptlatticehavebeenstudiedwidelysuchasbuildinglatticeandrulesextraction,asforitsalgebraicproperties,therehasnotbeendiscussedsystematically.Thepapersuggestsabinaryoperationbetweentheelementsforthesetofallconceptsinformalcontext.Thisturnstheconceptlatticeingeneralsignificanceintothosewithoperators.Wealsoprovedthattheconceptlatticeisalatticeinalgebraicsignificanceandstudieditsalgebraicproperties.Theseresultsprovidedtheoreticalfoundationandanewmethodforfurtherstudyofconceptlattice.
机构地区 不详
出版日期 2004年02月12日(中国期刊网平台首次上网日期,不代表论文的发表时间)