This is a simple Python implementation of the Lebesgue Integral using first principles. Not many examples are available that discuss the method of computing Lebesgue integral using first principles.

Abstract: In this paper, we firstly recall some basic results about set-valued and fuzzy set-valued stochastic processes. Secondly, we shall discuss the Lebesgue integral of a fuzzy set-valued ...

In this document are given outlines and examples of several related implementations of Lebesgue integration, [1], within the framework of NIntegrate, [7]. The focus is on the implementations of ...

Abstract: Lebesgue-sampling-based fault diagnosis and prognosis (LS-FDP) is developed with advantages of light computation and small uncertainty accumulation. In previous research, the applications of ...