In this paper, the authors define the iterates of Boolean sums of multivariate Stancu operators and study the direct theorems, inverse theorems and saturation theorems.

The operations of union, intersection and complement based on the two operators prove that the complement of the rough set under this definition is Boolean complement.

A characterization of distributive lattices, Heyting algebras and Boolean algebras was given by means of an equivalence relation defined on them.

The purpose of this papar is to study a new subalgebra of regular FI-algebras, we shall point out that an essential connection exists between adjoint algebras of regular FI-algebra and Boolean algebras.

Weighted Moore-Penrose inverse of Boolean matrix;

On the weighted generalized inverses for a Boolean matrix;

The sufficient and necessary conditions of the existence of low degree multiplies for a given Boolean function f is analyzed and three algorithms to find annihilators of Boolean function are presented.

Firstly a sufficient and necessary condition of Boolean functions on some variates is giuen using the second spectrum Method secondly some sufficient and necessary conditions of Boolean functions on some Variates are discussed using the charecteristic array of the functio