Oner, TahsinKatican, TugceSaeid, Arsham Borumand2023-01-122023-01-1220221793-00571793-70271793-00571793-7027https://doi.org/10.1142/S1793005723500369https://hdl.handle.net/11454/77658The main objective of the study is to introduce a hesitant fuzzy structures on Sheffer stroke BCK-algebras related to their subsets (subalgebras as possible as). Then it is proved that every hesitant fuzzy ideal of a Sheffer stroke BCK-algebra related to the subset is the hesitant fuzzy subalgebra. By defining a hesitant fuzzy maximal ideal in this algebra, relationships between aforementioned structures, subalgebras and ideals on Sheffer stroke BCK-algebras are shown in detail. Finally, it is illustrated that a subset of a Sheffer stroke BCK-algebra defined by a certain element and a hesitant fuzzy (maximal) ideal on the algebra is a (maximal) ideal but the inverse is usually not true.en10.1142/S1793005723500369info:eu-repo/semantics/closedAccessSheffer strokeBCK-algebra(hesitant fuzzy) subalgebra((hesitant fuzzy) maximal) idealSetArticleWOS:0008958271000012-s2.0-85144536294Q3N/A