基于容差优势关系的粗糙集模型及其应用研究

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1、万方数据THERoUGHSETMoDELBASEDoNToLERANCEDo删ANCERELATIONANDITSAPPLICATIONRESEARCHABSTRACTInthecompleteorderinformationsystem，it’Stoostrictandthefaulttolerantabilityisbadwhentheclassicdominancerelationroughsetmodelcomparestheobjectsandschemes．Soitisnecessarytoexpandtheclassicdominance

2、relationroughsetmodel．Thepaperstudiestheconceptandrelatedpropertiesoftheextensionmodel．Themainresearchworksareasfollows：Firstly,inthecompleteorderinformationsystem，thearticlegivesthedefinitionoftolerancedominancerelation，andproposestheroughsetmodelbasedonthetolerancedominancerel

3、ation．Whenfaulttolerancerateiszero，theroughsetmodelbasedonthetolerancedominancerelationdegeneratestotheclassicdominancerelationroughsetmodel．Namelytheclassicdominancerelationroughsetmodelisaspecialformoftheroughsetmodelbasedonthetolerancedominancerelation．Secondly,thePaperdiscus

4、sthereliedpropertiesofthenewmodel，mainlydiscussesthemeasurementuncertaintyproblemoftheorderinformationsystemⅡI万方数据basedontolerancedominancerelation．Thearticlegivestheconceptsofroughdegree，roughentropyandfuzzydegree．Usethemtomeasuretheuncertaintyofroughset．Andtherearedefiniterela

5、tionsanddifferencesbetweenthem．Thirdly,theattributereductionproblemoftheorderinformationsystemonthetolerancedominancerelationiSstudied．Tomaintainthetolerancedominanceclassoftheorderinformationsystemthesame，thepapergivesthedefinitionofattributereductionundertheorderinformationsys

6、temonthetolerancedominancerelation．Accordingtothedefinitionofattributereduction，thealgorithmofattributereductionisproposedanditstimecomplexityisanalyzed．Fourthly,theprojectsortingproblemoftheorderinformationsystemonthetolerancedominancerelationisstudied．Basingontolerancedominanc

7、erelation，thedefinitionofdominantdegreeisobtainedandaprojectsortingmethodbasingonthetolerancedominancerelationisproposed．Thesortingmethodisappliedtothecomprehensivelyevaluateofsmartgrid．Theresultsshowthatcomparedtotheclassicaldominancerelation，thetolerancedominancerelationposses

8、sesstrongercapabilityoffaulttoleranceforthedata