Hesitant Fuzzy Structures on Sheffer Stroke BCK-Algebras
Articles > Article · 2022
Authors: Tahsin ÖNER, Tugce Katican, Arsham Borumand Saeid
New Mathematics and Natural Computation, Journal Indexed in ESCI, International, Scopus, 2022, vol 19, pp 793-804
DOI: 10.1142/s1793005723500369
Summary
The 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.