Abstract
The notions of join hesitant fuzzy filters and join hesitant fuzzy G-filters in residuated lattices are introduced, and related properties are investigated. Characterizations of join hesitant fuzzy filters and join hesitant fuzzy G-filters are discussed. Conditions for a join hesitant fuzzy filter to be a join hesitant fuzzy G-filter are provided, and a new join hesitant fuzzy filter is construct by the given join hesitant fuzzy filter.