资源描述：
《带模糊参数的系统模糊可靠度分析_英文_》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。
1、第21卷第6期模糊系统与数学Vol.21,No.62007年12月FuzzySystemsandMathematicsDec.,2007ArticleID:1001-7402(2007)06-0076-08FuzzyReliabilityAnalysisofSystemwithFuzzyParametersGUOSi-zong,LIUHai-tao,HEBo(CollegeofScience,LiaoningTechnicalUniversity,Fuxin123000,China)Abstract
2、:Reliabilityresearchofsystemwithfuzzyparametershaswideandpracticalappliedbackground.Becauseoftheexpressiondifficultyofmembershipfunctionoffuzzycalculation,thetheoreticandappliedresearchonreliabilityoffuzzyparameterssystemislimited.Weadopttheexpressionof
3、fuzzystructuredelementtoputforwardtwomethodstocalculatemembershipfunction,whichcanbeusedtocalculatethefuzzyreliabilitymembershipfunctioninparallelandseriesnon-repairedsystemswithfuzzyparameters.Keywords:FuzzyStructuredElement;FuzzyNumber;FuzzyReliabilit
4、y;MembershipFunctionCLCnumber:O159Documentcode:A1IntroductionReliabilityresearchbeganinthe1930s.Sincefuzzycharacterexistsinthedatacollection,system[1]parametersestimationorfailuredefinitionofsysteminapplications,thefuzzyreliabilitytheorywasdevelopedinth
5、e1980s.Accordingtoprobabilityandpossibilitydepictingofmeasuringsystemfailurerate,fuzzyreliabilitytheorycanbedividedintotwocategories.Underassumptionsofprobabilitydepictingofsystemfailurerate,fuzzyreliabilitystudiesalsocanbedividedintotwocategories:thefi
6、rstisfuzzydepictingofsystemicstate,thatistotreat"failure","normal","Nobigfailure"ofsystem[2]asafuzzystate,andusetheprobabilitycalculationmethodoffuzzyeventstostudyfuzzyreliability.[3]Theotherisfuzzydepictingofsystemprobabilitydistributionparameters.Howe
7、ver,becauseofrelatingtocomplexcalculationsoffuzzynumber,theresultsofsuchstudiesarelimited.Fuzzystruc-turedelementmethodtacklestheproblemofquickcalculationstosomeextent,anditmakesfurtherreliabilityresearchoffuzzyparameterssystembecomepossible.2Fuzzystruc
8、turedelementandfuzzynumberoperation[4-6]Convexityandnormalityaretheinherentstructuralcharacteristicsofthefuzzynumber.Let~AbetheconvexnormalfuzzysetinrealnumberdomainR,fbeaboundedmonotonefunctiononR.~Bytheextensionprinciple,f(A)mu
