简介：In[5],manyinequalitiesforNBUEandNWUElifedistributionsaregiven.But,sincetherearesomebasicobservationswhichdonothold(seeSection1fordetails),manyresultsobtainedin[5]arenottrue.Inthisnoteweproposesomeremediesandgivesomenewresults.

简介：Inthispaper,weanalyzethefuzzyreliabilityofparalleling-seriessystem,focusingonthesituationoftheearlyfailuremode.TheearlyfailuremodeoffuzzyreliabilitymainlyobeystheWeibulldistribution.Basedonthis,weobtainthedistributionfunction,densityfunction,failurefunction,reliabilityfunctionandtheformulaofthemeantimetofailure.Fortheparalleling-seriessystemcomposedofmultiplecomponents,C1j,C2j,Cnj…,Cnj(j=1,2,…,K),especiallywhenη=1,mij=m,i=1,…n,j=1,2,…,k,wealsoobtainthecorrespondingformulas.Finally,weciteanexampletoverifytheformulaanddeepentheunderstanding.

简介：Inthispaper,weanalyzethefuzzyreliabilityofparallelingsystem,focusingonthesituationoftheearlyfailuremode.TheearlyfailuremodeoffuzzyreliabilitymainlyobeystheWeibulldistribution.Basedonthis,weobtainthedistributionfunction,densityfunction,failurefunction,reliabilityfunctionandtheformulaofthemeantimetofailure.Fortheparallelingsystemcomposedofmultiplecomponents,C1,C2,???,Cn,especiallywhenη=1,wealsoobtainthecorrespondingformulas.Finally,weciteanexampletoverifytheformulaanddeepentheunderstanding.

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简介：Inthispaper,thefuzzyreliabilityfunctionZ=X+Yhasbeenderived.InthecaseofthatX,YsubjectstoMarshall-Olkinbivariateexponentialdistribution,assumingμ=μ1μ2.

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