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1、西南交通大学硕士学位论文基于动态多值背景的概念格及其约简方法的研究姓名:杨丽申请学位级别:硕士专业:应用数学指导教师:宋振明20060501西南交通大学硕士研究生学位论文第n页约简概念格完成了修复,并最终得到了基于动态多值背景的完整的概念格结构,实现了概念格理论在动态数据方面的应用。关键词:概念格;多值背景;动态多值背景;概念格约简;概念格修复西南交通大学硕士研究生学位论文第撤页AbstractAsa,pOWerfIulformaltoolfordataorganizati∞anddataanalysis,theconceptlattic甚theoryisveryimportant
2、bollaintlacori嚣andactualapplication,and,Iresbeenwidely勰dstteeessfullyusedinma-yfields.However,intlacanalysisoftlaed)m锄icdataandintheconceptlatticeofreductionandreparationmctlao(kthedevdopmentoftlacconceptlatticetlacorysyst锄stillnotlnatul'l。,needthefUllhcI'questwithperfe,etThispalJcr,atfirst,an
3、alyzedtheformalcontextthattlacconstructionofconceptlatticeclci,eixts011.Basedonthesingle-valuedcontextandthemany-valuedcontext,andaccordingtotlacconcreteappliedbackgroundandthedifferentattribut。values,putforwardtlacdcfilfitionofthenumbermany—valuedcontext,theintervalmany-valuedcontextandthelin
4、gttistiemany-valuedeorltcxtrespectivelyanddiscussedthemmethodconvertmutually.Analyzetheoutput他as帆oftlaedynamicdata.Forthesetofobjcetsintlacformalcontext,thispaperpresentsavicwl,ointthatobjects81"Cinteractive,llotexistalone.Aseriesofrelativeilotio璐basedORtlaeinteractionamongobjectsarcdefinedand
5、tlaeconceptlatticemoddiscxtended.Thenawciglatingmethodofattributesisadoptedtodealwithtlacchangeableattributevalues.Putforwardthelinguistica韶e鹞m曲招scalingtheory,carryingouttlactra,sformationoftlacd弘L锄icmany-valuedcontextthestaticsingle-valuedcontext,thusprovidingtheviablemathematicsmethodforther
6、esearchofthedynamicmany-valuedcontext.Furthermore,forthest.dyofthereductionandpreparationofconceptlattice,thispaperstillfocusedontheformalcontext,8f'tclrthedefinitionsofattributespacesofobjectand嘶cctspacesofattn'butca∞proposed,theobjectsetandthe西南交通大学硕士研究生学位论文第h页attributesetinformalcontextRrct
7、obereduced.Weadopttwokindsofreducedtheorems,i.e.attn"outesreductiontheoremsandobjectsreduction血eorcms,tobeprovedinthispaper.Thenthereducedformalcontextisattained.Fhlallytheconstructionofrexhcedconcel’tlatticebasedonthereducedformalconte