Generating Sets of the Complete Semigroup of Binary Relations Defined by Semilattices of the Class Σ₈(X, 5)

In this article, we study generating sets of the complete semigroups of binary relations defined by X-semilattices of unions of the class Σ₈(X, 5). Found uniquely irreducible generating set for the given semigroups and when X is finite set formulas for calculating the number of elements in generating sets are derived.