Theproblemofdecisionmakinginanimpreciseenvironmenthasfoundparamountimportanceinrecentyears.Inthispaper,wedefinevaguesoftrelationandsimilaritymeasureofvaguesoftsets.Usingthesedefinitions,somenovelmethodsofobjectrecognitionfromanimprecisemultiobserverdatahasbeenpresented.Moreover,weintroducethenotionofgeneralizedvaguesoftsetsandstudysomeofitsproperties.Thesimilaritymeasureofgeneralizedvaguesoftsetsisalsopresentedandanapplicationofthismeasureindecisionmakingproblemshasbeenshown.