摘要:Inordertoextendthen-foldfiltertheoryofresiduatedlattices,theconceptsofhesitantfuzzyn-foldimplicativefilters,hesitantfuzzyn-foldpositiveimplicativefilters,hesitantfuzzyn-foldBooleanfilters,hesitantfuzzyn-foldnormalfiltersandhesitantfuzzyn-foldfantasticfiltersinresiduatedlatticeareintroducedbyusingthemethodandprincipleofhesitantfuzzysets,andtheirpropertiesandequivalentcharacterizationsarestudied.Therelationsbetweensometypesofhesitantfuzzyn-foldfiltersinresiduatedlatticeaswellastherelationsbetweensometypesofn-foldresiduatedlatticesarediscussed.Theequivalentdescriptionsbetweenthesekindsofhesitantfuzzyn-foldfiltersandtheircorrespondingn-foldresiduatedlatticesaswellastheirquotientresiduatedlatticesareobtained.