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摘要在人力管理理论、实践的深入发展下,这让人力管理工作成为了现代企业的标配,同时也是一项核心工作。创立企业,是为了发展获利,而当下的市场日益饱和,许多行业都进入到了存量市场的竞争当中,所以,企业需利用创新来驱动发展,而创新发展的关键在于人才,此时也就凸显出了绩效考核管理制度的重要性,其是现代企业管理的科学手段,有利于激发员工的创新创造发展,从而驱动企业的创新发展。现阶段,因为国内的管理实践整体比较滞后,此时国内虽然有不少企业开展了绩效考核工作,然而,取得预期效果的非常少,这制约着国内企业的发展进步。因此,本文之中主要就民企员工绩效考核开展了探析,因为YQ民宿管理公司是一家典型民企,所以,选择其为研究对象,对其现阶段所实施的绩效考核体系现状进行了分析,并从中挖掘出了其中存在的主要问题与不足方面,最后综合一些理论、实践知识,设计出了针对性的改进对策,以此来促进其绩效考核体系的发展完善,同时也给其他民企这方面的工作提供一定的启发。关键词:YQ民宿管理公司;绩效考核体系;现状;问题;建议 AbstractWiththein-depthdevelopmentofhumanresourcemanagementtheoryandpractice,humanresourcemanagementhasbecomethestandardandcoreworkofmodernenterprises.Theestablishmentofenterprisesisfordevelopmentandprofit,andthecurrentmarketisincreasinglysaturated,manyindustrieshaveenteredthestockmarketcompetition,soenterprisesneedtouseinnovationtodrivedevelopment,andthekeytoinnovationanddevelopmentistalents,whichhighlightstheimportanceofperformanceappraisalmanagementsystem,whichisascientificmeansofmodernenterprisemanagement,andisconducivetostimulatetheinnovationofemployeesNewcreationanddevelopment,soastodrivetheinnovationanddevelopmentofenterprises.Atthisstage,becausethedomesticmanagementpracticeasawholelagsbehind,atthistime,althoughmanydomesticenterpriseshavecarriedouttheperformanceappraisalwork,veryfewhaveachievedtheexpectedresults,whichrestrictsthedevelopmentandprogressofdomesticenterprises.Therefore,thispapermainlyanalyzestheperformanceappraisalofemployeesinprivateenterprises.BecauseYQB&Bmanagementcompanyisatypicalprivateenterprise,itchoosesitastheresearchobjectandanalyzesthecurrentsituationofitsperformanceappraisalsystematthisstageIntheend,thepaperintegratessometheoreticalandpracticalknowledgetodesigntargetedimprovementmeasures,soastopromotethedevelopmentandimprovementofitsperformanceappraisalsystem,andalsoprovidesomeinspirationforotherprivateenterprisesinthisaspect.Keywords:YQmanagementcompany;performanceappraisalsystem;currentsituation;problems;suggestions目录TOC\o"1-2"\h\u8408摘要 IEmployeeperformanceevaluation:afuzzyapproachImtiazAhmedandIneenSultanaAbstract:Purpose–Managersencountermanydecisionsthatrequirethesimultaneoususeofdifferenttypesofdataintheirdecision-makingprocess.Acriticaldecisionareaformanagersistheperformanceevaluationofpersonnel,whetherindividuallyorasamemberofateam.Performanceevaluationiscriticallyessentialfortheeffectivemanagementofthehumanresourceofanorganizationandevaluationofstaffthathelpdevelopindividuals,improveorganizationalperformance,andfeedintobusinessplanning.Design/methodology/approach–Performanceevaluationsrequireandofteninvolvedisparatetypesofinformationthatarevague,incomplete,objective,andsubjective.Thispaperproposesaperformanceevaluationsystemofemployeesconsideringvariousperformanceevaluationcriteriausingfuzzylogic.Themaintaskintheproposedapproachinvolvesdeterminingtheperformanceindicesofemployeesconsideringtheirrespectiveperformanceinvariousqualitativeandquantitativeevaluationcriteriaandthenselectingthebestemployeewhoholdshighestperformanceindexcomparingalltheindices.Findings–Amodelisdevelopedforanykindoforganizationwhereperformanceevaluationissignificantlyimportantforstaffmotivation,attitudeandbehaviordevelopment,communicatingandaligningindividualandorganizationalaims,andfosteringpositiverelationshipsbetweenmanagementandstaff.Fuzzycontrolisusedtodeterminetheoverallperformanceindexbycombiningresultsoftheperformanceinselectedcriteriaandprovideditinnumericalvalueswhichwillundoubtedlyensureconvenienceoftheconcernedhumanresourcepersonnelduringperformanceratingcalculation.Originality/value–Thisisthefirsttime,aperformanceevaluationmodelisdevelopedusingfuzzyapproachforanykindoforganizationwhereperformanceevaluationissignificantlyimportantforstaffmotivation,attitudeandbehaviordevelopment,communicatingandaligningindividualandorganizationalaims,andfosteringpositiverelationshipsbetweenmanagementandstaff.Keywords:Performanceevaluation;Fuzzylogic;Fuzzyset;Performanceindex;Performanceappraisal1IntroductionHumanresourceswithknowledgeandcompetenciesarethekeyassetsinassistingorganizationstosustaintheircompetitiveadvantage.Globallycompetitiveorganizationsdependontheuniquenessoftheirhumanresourcesandthesystemsformanaginghumanresourceseffectivelytogaincompetitiveadvantages.Performanceevaluationofthehumanresourcesisavitalissueinthisregard.Increatingandimplementinganappraisalsystem,managementmustdeterminewhattheperformanceappraisal(PA)systemwillbeusedforandthendecideontheprocesstoimplementthesystem.Themethodschosenandtheinstrumentsusedtoimplementthesemethodsarecrucialindeterminingwhethertheorganizationmanagesitsperformancesuccessfully.Theseappraisalmethodsarebasedonquantitativetechniqueswhichprovideapreciseoutputdefiningtheemployees’performance.However,muchoftheinformationrelatedtoPAisnotquantifiableandprecisewithcrispboundaries.Rather,thisinformationispresentedinexpressionsorwordsinnaturallanguageandwithoutprecision.Formanyorganizations,theprimarygoalofanevaluationsystemistoimproveindividualandorganizationalperformance.Soitisneedlesstosay,aproperlydesignedsystemcanhelpachieveorganizationalobjectivesandenhanceemployeeperformance.Itisutilizedtotrackindividualcontributionandperformanceagainstorganizationalgoalsandtoidentifyindividualstrengthsandopportunitiesforfutureimprovementsandassesswhetherorganizationalgoalsareachievedorservesasbasisforthecompany’sfutureplanninganddevelopment.Ithasbeenprovedbymanyresearchworksthateffectiveappraisalsystemisdirectlyrelatedtoemployeemotivationandproductivity.Itisreallydifficulttoconsidermanyfactorsatatimetoevaluateperformanceofemployeesinanorganization.Fuzzylogiccanconsidermultipleinputparameterswithuncertaintyofeachfactor.Thispaperproposesacasestudyofperformanceevaluationsystemofemployeesworkinginanorganizationbasedon20specificperformanceevaluationcriteriausingfuzzylogic.Thisresearchcallsattentiontoanalternativemethodoftheperformanceevaluationsystemasopposedtothetraditionalquantitativemethods.2LiteraturereviewThereexistsavastresearchworksinPAfieldofpersonnelmanagement.Manyquantitativeandjudgmentalmethodsevolveduringthepastyears.However,thispapertriestocoversomeoftheinsightsfromthosecontributions.Theimportanceofperformanceevaluationofpersonnelanditsrelationshiptothefirm’sperformanceiswelldocumentedintheliterature(Lowe,1986;KatzenbachandSmith,1993;Kilduffetal.,2000;Higgs,2005).Avarietyofappraisaltechniquesareavailabletomeasureperformance(ChangandHahn,2006;Jiangetal.,2001;Armentrout,1986;ArveyandMurphy,1998;SanchezandDeLaTorre,1996;Stronge,1991).Bretzetal.(1992)reviewedthePAliteraturepublishedinbothacademicandpractitioneroutletsbetween1985and1990,brieflydiscussedthecurrentstateofPApractice,highlightthejuxtapositionofresearchandpractice,andsuggesteddirectionsforfurtherresearch.Kleinetal.(1993)proposedamodelforPAinterviewadaptedfromopensystemstheory.Ying-FengandLing-Show(2002)conductedastudyformeasuringperformancesoflecturersworkinginuniversitiesofTaiwanbyemployingfuzzysyntheticdecisionapproach;theprocedureofmeasuringperformancesoflecturersismadethroughpointsgiventocriteriawithspecificlevelofsignificanceandvaryingbetween1and5invalue.AsreformisacommonthemeinAmericanpublicadministration,KelloughandSally(2003)examinedtheextenttowhichthesekindsofpersonnelreformshavebeenimplementedbystategovernments.Areformindexisdevelopedtodocumenttheconsiderablevariationamongthestatesintheirapproachtopersonnelpractices.Kciuk(2007)presentedpersonnelmanagementdevelopmentinrecentyears.Themainfocuswasontheworkersselectionfollowsthroughthechoiceofthesuitablemethodsofrecruitmentandselectionprecededtheplanningofpersonnelneeds.Itisveryclearlyandwellunderstoodfromhispaperthattheworkerschoiceisthecontinuousprocess,adaptedtothechangingneedsoftheorganization.Law(2007)illustratedhowperformanceappraisalsarearelicofexternal-controlbossmanagementandexplainswhythePAprocessisgenerallydislikedbyboththeappraiserandtheemployeebeingappraised.Thegoalsandunderlyingassumptionsheldbymanagersandhumanresourcespersonnelarediscussed,andsomeofthecounterproductiveaspectsofperformanceappraisalsareidentified.Finally,alternativestoperformanceappraisalsareexplored,focussingonworkplacerelationshipsandcommunication.AliandOpatha(2008)investigatedtherelationofPAtobusinessperformanceinSriLankanapparelfirms;tofindoutwhetherasignificantdifferenceexistsbetweenlargeapparelfirmsandnon-largeapparelfirmswithregardtoperceivedqualityofPAandtorevealwhetherasignificantdifferenceexistsbetweenlargeapparelfirmsandnon-largeapparelfirmswithregardtobusinessperformance.Threehypotheseswereformulatedusingdeductiveapproach.However,thestudyrevealednostatisticalevidencetoclaimthatthedegreeofperceivedqualityofPAoflargeapparelfirmsissignificantlydifferentfromthatofnon-largeapparelfirmsandthattheperceiveddegreeofbusinessperformanceoflargeapparelfirmsissignificantlydifferentfromthatofnon-largeapparelfirms.Jafarietal.(2009)proposedaframeworkfortheselectionofappraisalmethodsandcomparesomePAmethodsinordertofacilitatetheselectionprocessfororganizations.Thevalueofthisframeworkisthat,withuseofit,organizationscanevaluatetheirPAmethodwithrespecttothekeyfeaturesofitbeforeimplementinganymethodaswellasexpendingextracosts.Rasheedetal.(2011)exploredvariousaspectsofPAsystemsusedforteachersinhighereducationalinstitutions.ResearchershaveundertakenPublicSectorUniversityofPakistan,asacasestudyinthepresentresearch.AcombinationofqualitativeandquantitativeresearchapproachhasbeenadoptedwhichconsistofaquestionnaireinordertogetprimarydataforinvestigatingdifferentaspectsofcurrentPAsystemandin-depthinterviewsinordertostudythoroughperceptionsofteachersregardingPAapproachesintheirinstitution.Findingshaveshownthatobsoleteevaluationsystem,exclusionofstudents’feedback,untrainedevaluators,anddecreasedmotivationfortheprocessarethepotentialhinderingfactorsforPAsystemsofthecasestudyuniversity.Ochotietal.(2012)investigatedthemultifacetedfactorsinfluencingemployeePAsystemintheMinistryofStateforProvincialAdministration,NyamiraDistrict,Kenya.MultipleregressionanalysistechniquewasusedtoexplainthenatureoftherelationshipbetweenPAsandthefactorsthatinfluenceit.Daonis(2012)examinedthestatusofthePAsystemofNassConstructionCompanyanditsimplicationtoemployees’performance.Therespondentsofthisstudyweretenuredemployees.TheresultofthestudyshowedthatthePAsystemofthecompanyareinplace,alignedwiththevisionandmissionoftheinstitution,andisaccurateintermsofcontentandpurpose.Ontheotherhand,theresultsreflectedthatthePAsystemofthecompanyhasbroughtaboutbothpositiveandnegativeimpactontheemployeesperformance.ToppoandPrusty(2012)focussedtostudytheevolutionofemployee’sPAsystem,criticsthesystemsuffered,andhowtheperformancemanagementsystemcametothepractice.Theydifferentiatedthesetwosystems,employee’sPAandmanagementsystem.PerformancemanagementeliminatestheshortcomingsofPAsystemtothesomeextent.Sˆırb(2012)developedatoolbasedonfuzzylogicforselectionofhumanresourcesincompanies,generallyandofthoseoftop-managementwithinminingprojectfromRos¸iaMontana˘,inparticular.Theproposedmethodologyisamultidisciplinaryone,addressingissuesfromareassuchasmanagement,mathematicsorpsychology.ItsdesignprojectedinthispaperinapersonalmannerallowsselectingthemostsuitablemanagerofprocessingplantofpreciousmetalswithinminingprojectfromRos¸iaMontana˘,akeypostforthesuccessofthisproject,whichrequiresemployingthemostappropriatespecialist,takingintoaccountthesubjectivityofassessingtheweightofimportanceofsomeselectioncriteriaandofassessingthedegreeinwhichthepotentialcandidatessatisfytherequirementsofthesecriteria,alltheseaspectsmodeledunderthespectrumoffuzzylogic.ChattopadhayayandGhosh(2012)pointedoutsomeseriouslimitationsofforceddistributionsystemandproposeasimplemodificationtoovercometheselimitations.Extensivesimulationstudiesshowthatthemodifiedalgorithmisuniformlybetterthantheexistingoneoverdifferentschemesforallocationsofemployeestodifferentprojects.Manyorganizationsdonotusethesystematicwaytoevaluatetheperformanceoftheiremployeesthatoftenmakestheirevaluationmethodvagueandinefficient.Soitisverynecessarytodevelopasystematicapproachforregularusetoperformtheperformanceevaluationprocessatplanningstage.Againorganizationsuseseveralcriteriaforevaluatinganemployeewhichmakesthewholeprocessverycomplexastherearedifferentrulesforeachcriterionwithdifferentpriority.Soobtainingatotalperformanceindexforanemployeeconsideringallcriteriaisatiresomeprocess.Fuzzyrule-baseddecisionmakingcouldsolvethisproblemeasilyasfuzzylogictakesintoaccountvariouscriteriaandprovidesaneasierwaytoperformtheaggregatedcalculationbasedongivenruleswhichiscomplextodoinusualtraditionalmethod.Soformulatingamodelwhereemployees’performancesareratedinsomedefinedfactorsaccordingtojudgmentscaleandusingthisratedperformanceasinput,fuzzylogiccouldbeappliedtodeterminetheoverallperformanceindexofanemployee.Fuzzylogichelpstofindtheperformanceindexofanindividualifthecompany’sperformancedataandratingbasedonjudgmentareavailable.Inthismodel,thejudgmentoftheperformanceonascaledecidedbyevaluatorandestablishmentofrulesinfuzzylogicaccordingtowhichthecalculationworksarethemostimportanttasks.Inthefuzzyenvironmentnumerousstudieshavebeenconductedindifferentareasandapplications.Yehetal.(2000)developedaneffectivefuzzymulticriteriaanalysisapproachtoevaluateperformanceofurbanpublictransportsystemsthatinvolvesmultiplecriteriaofmulti-levelhierarchiesandsubjectiveassessmentsofdecisionalternatives.AcasestudyontenbuscompaniesofanurbanpublictransportsysteminTaiwanisconductedtoillustratetheeffectivenessoftheapproach.GalinecandVidovic(2006)arguedthatprojectteamworkdependsconsiderablyonthecontributionofitsmembersanditsmanagementaswell.Toidentifytheimportanceofeachindividual,aleader/managermustevaluateindividualcontributions.Aleaderusuallyhasdefectiveandincompleteinformationathisdisposaland,besides,issubjective.Tosolvetheaforesaidproblem,fuzzyapproachandfuzzylogicareused.Fuzzyevaluationsystemhasbeendesignedtoreduceevaluationsubjectivity.BeheshtiandLollar(2008)developedafuzzylogicmodelapproachtodecisionmakinganditsvalueformanagersbyillustratingitsapplicationtoemployeeperformanceappraisals.PakdamarandGuler(2008)developedafuzzylogicapproachintheperformanceevaluationofreinforcedconcretestructures.Theyshowedthattheperformancelevelcanbedefinedtobeflexiblebyusingcertainweightedvaluesdependingonnumberanddeformationlevelofelements.Paladini(2009)usedfuzzylogictostructureanevaluationprocessoftheperformancelevelsofhumanresourceswhooperateinbothindustrialandserviceprovidingorganizations.Amodelhasbeendevelopedtoeachsector.Theperformancestandardsreflectanidealprofileofdecision-makingagentsinindustrialandserviceprovidingorganizations.Wuaetal.(2009)proposedaFuzzyMultipleCriteriaDecisionMakingapproachforbankingperformanceevaluation.Theysummarizedtheevaluationindexessynthesizedfromtheliteraturerelatingtobankingperformance.Then23indexesfitforbankingperformanceevaluationwereselectedthroughexpertquestionnaires.Furthermore,therelativeweightsofthechosenevaluationindexeswerecalculatedbyFAHP.AfterthatMCDManalyticaltoolsofSAW,TOPSIS,andVIKORwere,respectively,adoptedtorankthebankingperformanceandimprovethegapswiththreebanksasanempiricalexample.Tuzkayaetal.(2009)developedahybridfuzzyanalyticnetworkprocessandfuzzypreferencerankingorganizationmethodfortheevaluationofsuppliers’environmentalperformancesandprovidedanumericalexampleforbetterunderstandingwithasensitivityanalyses.YeeandChen(2009)proposedaPAsystemusingmultifactorialevaluationmodelindealingwithappraisalgradesanditisforevaluatingstaffperformancebasedonspecificPAcriteria.PaulandAzeem(2010a)proposedamodelfortheselectionofoptimalshiftnumbersconsideringinventoryinformation,customerrequirements,andmachinereliabilityusingfuzzylogic.Themaintaskinvolvesoptimizingtheshiftperiodsconsideringconstraintsofrawmaterial,duedate,demand,andfinishedgoodsinventoryandmachinebreakdown.Amodelisdevelopedforanykindofmanufacturingcompanywhereshiftperiodsaffectcompany’sprofitandcost.Fuzzycontrolisusedtooptimizethenumberofshiftsundertheconstraintsofinputvariables.PaulandAzeem(2010b)usedfuzzysetsandlogictotackleuncertaintiesinherentinactualflowshopschedulingproblemstominimizework-in-processinventory.Fuzzyduedates,costovertimeandprofitrateresultthejobpriorityandtodeterminethemachinepriorityprocessingtimeofeachmachineisconsidered.MATLABFuzzyToolboxisusedtocalculatetheprioritiesofjobsandmachinesatdifferentstages.Finally,jobsareassignedintomachinesbasedonagroupingandsequencingalgorithmthatminimizesthetotalworkinprocessinventory.Sun(2010)developedaperformanceevaluationmodelbasedontheFAHPandthetechniquefororderperformancebysimilaritytoidealsolution,fuzzyTOPSISwherethevaguenessandsubjectivityarehandledwithlinguisticvaluesparameterizedbytriangularfuzzynumbers.Zemkova´(2011)usedfuzzysetsinperformanceevaluationofemployeesinacompanywheremultiplecriteriaevaluationisutilized.Chengetal.(2011)developedanevolutionaryfuzzyhybridneuralnetworktoenhancetheeffectivenessofassessingsubcontractorperformanceintheconstructionindustry.YadavandSingh(2011)proposedafuzzyexpertsystemforstudentacademicperformanceevaluationbasedonfuzzylogictechniques.Manoharanetal.(2011)demonstratedhowanintegratedtoollikefuzzymultiattributedecisionmaking,withFAHP,fuzzyqualityfunctiondeploymentisappliedasafairevaluatingandsortingtooltosupportthePAsystem.Severalapproachesusingfuzzylogictechniqueshavebeenproposedforevaluatingstudentacademicperformanceandcomparetheresultswithexistingstatisticalmethod.Sahuetal.(2012)proposedanefficientsupplierappraisementsystembyconsideringgreenperformancecriteria,infuzzyenvironment.Afuzzyevaluationindexhasbeenestimatedtowardassessingsuppliers’greenperformanceextent.Meenakshi(2012)proposedamultisourcefeedback-basedPAsystemusingfuzzylogicdecisionsupportsystem.YarahmadiandSadoughi(2012)presentedacomprehensiveapproachfordecisionmakerstoevaluateandprioritizeenvironmentalindicesusingaTOPSIS.3MethodologyThemodelproposedinthisresearchutilizesfuzzyinferencesystem(FIS)whichisanoptimizationtechniquethatconsidersdifferentinputsandrelatesthoseinputswithoutputwithsomerules.Rulesindicatetherelationshipbetweeninputsandoutputs.Theoutputisoptimizedbasedonrelationshipbetweenvariables.Thefinaloutputisobtainedfromtheaggregatedoptimizedresultofindividualrule.FuzzysettheorywasoriginallypresentedbyZadeh(1965)inhisseminalpaper“FuzzySets”inInformationandControl.Fuzzylogicwasdevelopedlaterfromfuzzysettheoryprimarytoreasonwithuncertainandvagueinformationandsecondarytorepresentknowledgeinoperationallypowerfulform(FranttiandMahonen,2001).Fuzzyinferenceistheprocessofformulatingthemappingfromagiveninputtoanoutputusingfuzzylogic.Themappingthenprovidesabasisfromwhichdecisionscanbemade,orpatternsdiscerned.TherearetwotypesofFISsthatcanbeimplementedinFuzzyLogicToolbox:Mamdani-typeandSugeno-type.Thesetwotypesofinferencesystemsvarysomewhatinthewayoutputsaredetermined.Becauseofitsmultidisciplinarynature,FISsareassociatedwithanumberofnames,suchasfuzzy-rule-basedsystems,fuzzyexpertsystems,fuzzymodeling,fuzzyassociativememory,fuzzylogiccontrollers,andsimply(andambiguously)fuzzysystems.Mamdani’sfuzzyinferencemethodisthemostcommonlyseenfuzzymethodology.Mamdani’smethodwasamongthefirstcontrolsystemsbuiltusingfuzzysettheory.ItwasproposedbyMamdaniandAssilian(1975)asanattempttocontrolasteamengineandboilercombinationbysynthesizingasetoflinguisticcontrolrulesobtainedfromexperiencedhumanoperators.Mamdani-typeinference,asdefinedforFuzzyLogicToolbox,expectstheoutputmembershipfunctionstobefuzzysets.Aftertheaggregationprocess,thereisafuzzysetforeachoutputvariablethatneedsdefuzzification.Itispossible,andinmanycasesmuchmoreefficient,touseasinglespikeastheoutputmembershipfunctionsratherthanadistributedfuzzyset.Thistypeofoutputissometimesknownasasingletonoutputmembershipfunction,anditcanbethoughtofasapre-defuzzifiedfuzzyset.ItenhancestheefficiencyofthedefuzzificationprocessbecauseitgreatlysimplifiesthecomputationrequiredbythemoregeneralMamdanimethod,whichfindsthecentroidofatwo-dimensionalfunction.Ratherthanintegratingacrossthetwo-dimensionalfunctiontofindthecentroid,theweightedaverageofafewdatapointsisused.Sugeno-typesystemssupportthistypeofmodel.Ingeneral,Sugeno-typesystemscanbeusedtomodelanyinferencesysteminwhichtheoutputmembershipfunctionsareeitherlinearorconstant.Nova´ketal.(1999)discussedthemathematicalprinciplesoffuzzylogicintheirbook.Accordingtothis,mathematicalprinciplesoffuzzylogicprovideasystematicstudyoftheformaltheoryoffuzzylogic.Thisbookpresentsfuzzylogicasthemathematicaltheoryofvaguenessaswellasthetheoryofcommonsensehumanreasoning,basedontheuseofnaturallanguage,thedistinguishingfeatureofwhichisthevaguenessofitssemantics.InFuzzyLogicToolbox,therearefivepartsofthefuzzyinferenceprocess:fuzzificationoftheinputvariables,applicationofthefuzzyoperator(ANDorOR)intheantecedent,implicationfromtheantecedenttotheconsequent,aggregationoftheconsequentsacrosstherules,anddefuzzification.Thesesometimescrypticandoddnameshaveveryspecificmeaningthatisdefinedinthefollowingsteps.StepI:fuzzificationofinputsThefirststepistotaketheinputsanddeterminethedegreetowhichtheybelongtoeachoftheappropriatefuzzysetsviamembershipfunctions.InFuzzyLogicToolbox,theinputisalwaysacrispnumericalvaluelimitedtotheuniverseofdiscourseoftheinputvariableandtheoutputisafuzzydegreeofmembershipinthequalifyinglinguisticset.Fuzzificationoftheinputamountstoeitheratablelookuporafunctionevaluation.Eachinputisfuzzifiedoverallthequalifyingmembershipfunctionsrequiredbytherules.StepII:applicationoffuzzyoperatorAftertheinputsarefuzzified,thedegreetowhicheachpartoftheantecedentissatisfiedforeachruleisknown.Iftheantecedentofagivenrulehasmorethanonepart,thefuzzyoperatorisappliedtoobtainonenumberthatrepresentstheresultoftheantecedentforthatrule.Thisnumberisthenappliedtotheoutputfunction.Theinputtothefuzzyoperatoristwoormoremembershipvaluesfromfuzzifiedinputvariables.Theoutputisasingletruthvalue.Anynumberofwell-definedmethodscanfillinfortheANDoperationortheORoperation.InFuzzyLogicToolbox,twobuilt-inANDmethodsaresupported:min(minimum)andprod(product).Twobuilt-inORmethodsarealsosupported:max(maximum),andprobor(probabilisticOR)method.StepIII:implicationmethodBeforeapplyingtheimplicationmethod,therule’sweightisdetermined.Everyrulehasaweightbetween0and1,whichisappliedtothenumbergivenbytheantecedent.Generally,thisweightis1andthushasnoeffectatallontheimplicationprocess.Fromtimetotimeyoumaywanttoweightonerulerelativetotheothersbychangingitsweightvaluetosomethingotherthan1.Afterproperweightinghasbeenassignedtoeachrule,theimplicationmethodisimplemented.Aconsequentisafuzzysetrepresentedbyamembershipfunction,whichweightsappropriatelythelinguisticcharacteristicsthatareattributedtoit.Theconsequentisreshapedusingafunctionassociatedwiththeantecedent(asinglenumber).Theinputfortheimplicationprocessisasinglenumbergivenbytheantecedent,andtheoutputisafuzzyset.Implicationisimplementedforeachrule.Twobuilt-inmethodsaresupported,andtheyarethesamefunctionsthatareusedbytheANDmethod:min(minimum),whichtruncatestheoutputfuzzysetandprod(product),whichscalestheoutputfuzzyset.StepIV:aggregationofalloutputsBecausedecisionsarebasedonthetestingofalloftherulesinaFIS,therulesmustbecombinedinsomemannerinordertomakeadecision.Aggregationistheprocessbywhichthefuzzysetsthatrepresenttheoutputsofeach
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