On measures based on the interval-valued pseudo-integrals of real functions and absolute continuity

One of the important mathematical tools that play a central role in many practical areas, such as mathematical economics, are real-valued functions and integration of real-valued functions with respect to interval-valued measure. The focus of this paper is on measures based on the pseudo-integration of real-valued function with respect to interval-valued measure. The absolute continuity of the first type and of the sixth type for the observed measure are investigated.