Abstract
A fuzzy logical algebra has diverse applications in various domains such as engineering, economics, environment, medicine, and so on. However, the existing techniques in algebra do not apply to delta-algebra. Therefore, the purpose of this paper was to investigate new types of cubic soft algebras and study their applications, the representation of cubic soft sets with delta-algebras, and new types of cubic soft algebras, such as cubic soft delta-subalgebra based on the parameter lambda (lambda-CS delta-SA) and cubic soft delta-subalgebra (CS delta-SA) over eta. This study explains why the P-union is not really a soft cubic delta-subalgebra of two soft cubic delta-subalgebras. We also reveal that any R/P-cubic soft subsets of (CS delta-SA) is not necessarily (CS delta-SA). Furthermore, we present the required conditions to prove that the R-union of two members is (CS delta-SA) if each one of them is (CS delta-SA). To illustrate our assumptions, the proposed (CS delta-SA) is applied to study the effectiveness of medications for COVID-19 using the python program.