Self-affinemultiplicityfluctuationisinvestigatedbyusingthetwo-dimensionalfactorialmomentmethodologyandtheconceptoftheHurstexponent(H).Investigationontheexperimentaldataofcompoundparticlesandtargetfragmentsemittedin84Kr-AgBrinteractionsat1.7AGeVrevealsthatthebestpowerlawbehavioursareexhibitedatH=0.7and0.6respectively,andthedataforshowerparticlesproducedin84Kr-emulsioninteractionsat1.7AGeVindicatethatthebestpowerlawbehaviouroccursatH=0.6,allofwhichshowtheself-affinemultiplicityfluctuationpatterns.Themultifractalityandthenon-thermalphasetransitionoccurringduringproducingthecompoundparticles,thetargetfragments,andtheshowerparticlesinthe84Kr-AgBrinteractionandthe84Kr-emulsioninteractionarealsodiscussed.Themultifractalityisobservedduringproducingcompoundparticles,targetfragments,andshowerparticles.Inthetargetfragmentproduction,anevidenceofnon-thermalphasetransitionisobserved,butintheshowerparticleproductionandthecompoundparticleproduction,noevidenceofnon-thermalphasetransitionisobserved.
