A_First_Course_in_Formal_Concept_Analysis

《A_First_Course_in_Formal_Concept_Analysis》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。

1、AFIRSTCOURSEINFORMALCONCEPTANALYSISHOWTOUNDERSTANDLINEDIAGRAMSKarlErichWolffFachhochschuleDarmstadtForschungsgruppeBegriffsanalysederTechnischenHochschuleDarmstadtErnstSchröderZentrumfürBegrifflicheWissensverarbeitungIn:Faulbaum,F.(ed.)SoftStat'93AdvancesinStatist

2、icalSoftware4,429-438.AFIRSTCOURSEINFORMALCONCEPTANALYSISHOWTOUNDERSTANDLINEDIAGRAMSKarlErichWolffSUMMARYThispaperintroducesthemainideasofFormalConceptAnalysisinaveryelementarywaywithoutusingformalmathematicaldefinitions.Itleadsthereadertoanunderstandingofanimport

3、anttechniqueofgraphicalknowledgerepresentationnamelythelinediagramsofconceptlattices.Asashortapplicationsomeaspectsofconceptuallearningusingattributeexplorationaredescribed.Inthesecondpartweintroducethemethodofconceptualscalingbyanexampleandtheuseofnestedlinediagr

4、ams,themaintoolforthegraphicalrepresentationofmultivariatedata.1INTRODUCTIONRemarksFormalConceptAnalysishasbeenintroducedbyWILLE(82)andappliedinmanyquitedifferentrealmslikepsychology,sociology,anthropology,medicine,biology,linguistics,computersciences,mathematicsa

5、ndindustrialengineering.DuringthelastyearsIhadtheopportunitytouseFormalConceptAnalysisincooperationwithscientistsfromalltherealmsmentioned.Theyoftenaskedmeforapaperwhichshouldexplainthemainideasjustlikeinaninformaltalkwithoutusingthestrangemathematicalformallangua

6、ge.Thishastheadvantagethatthemainideasareunderstoodquitequickly,butthedisadvantagethatsomeimportantconnectionscannotbeexplainedsincethelanguagechosenistooinexact.InthefollowingItrytoexplainthemainideasfromexamplesusingthetransferabilityofthereader.Thosereaderswhic

7、hareinterestedinthemathematicaldefinitionsofcontexts,formalconceptsandconceptlatticesshouldreadthepapersofWILLE(82)andWOLFF(88).1ConceptsandformalconceptsInthefollowingweshoulddistinguishbetweenourinformalunderstandingofconceptslikepreying(animal)andourunderstandi

8、ngoftheformalconceptpreyingasweuseitinourfirstexample.Butwhatisourunderstandingoftheconceptpreying?Itisobviousthatdifferentpeopleusethesameword"preying"