Ayshah Rehman2025-11-222025-11-222022https://escholar.umt.edu.pk/handle/123456789/11989In this study, we institute the idea of IntFSPIH BCK-I of kind (≪, ≪, ⊆), (≪, ⊆, ⊆) and (⊆, ≪, ⊆). some related properties are considered. relation of IntFSH BCK- I, IntFSSH BCK-I and IntFSPIH BCK-I of kind (≪, ≪, ⊆), (≪, ⊆, ⊆) and (⊆, ≪, ⊆) are introduced. additionally, we demonstrate that the L-set of IntFSPIH BCK-I of kind (≪, ≪, ⊆), (≪, ⊆, ⊆) and (⊆, ≪, ⊆) are PIH BCK-I of kind (≪, ≪, ⊆), (≪, ⊆, ⊆) and (⊆, ≪, ⊆) apart. the order for an IntFSset to be IntFSPIH BCK-I of kind (≪, ≪, ⊆), (≪, ⊆, ⊆) and (⊆, ≪, ⊆) are begin apart and the situation for an IntFS-set to be an IntFSWH BCK- I is also review.enThesis