We define a concept of generalized absolute continuity for additive functions of figures. This makes it possible to give a descriptive definition of the ℱ-integral introduced by Pfeffer in 1993. Finally, we discuss a possible extension to additive functions of sets of bounded variation.
"A concept of generalized absolute continuity for the ℱ-integral." Real Anal. Exchange 22 (1) 350 - 361, 1996/1997.