Abstract
The hesitant fuzzy set model has attracted the interest of scholars in various fields. The striking framework of hesitant fuzzy sets is keen to provide a larger domain of preference for fuzzy information modeling of deployment membership. Starting from the hybrid properties of hesitant fuzzy ideals (HFI), this paper constructs a new generalized hybrid structure Q-HFI. The concept of Q-hesitant fuzzy exchange ideal in BCK-algebra is considered. Lastly, Q-hesitant fuzzy exchange ideal features are described.