Characterization of Boolean Valued Star and Mega Lattice Functions

This paper is a study on Boolean valued star and mega lattice functions. It establishes a positive lattice measure, complex lattice measure, star lattice function and founds that every star lattice function is a positive lattice measure on s(L) and every star lattice function is a s-additive on X. Also, it classifies mega lattice function, mega lattice and demonstrates that in a mega lattice the limit of the integral is equal to the integral of the limit and every mega lattice is a s-additive. Finally, it confirms that every mega lattice preserves Fatous lemma.