Hesitant Fuzzy Structures on Sheffer Stroke BCK-Algebras.

Autor: Oner, Tahsin, Katican, Tugce, Saeid, Arsham Borumand
Předmět:
Zdroj: New Mathematics & Natural Computation; Nov2023, Vol. 19 Issue 3, p793-804, 12p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index