Interval Laplace transform and its application in production inventory

Abstract

This work demonstrates the Laplace and inverse transforms of interval valued functions with exaggerating its necessary properties under interval flexibility. After proposing the formal definition interval Laplace transform (i.e., Laplace transform of interval valued functions), some of its important properties are derived. Thereafter, the sufficient condition for the existence of interval Laplace transforms is established. Then, some important results regarding switching points of interval Laplace transform are discussed and illustrated with some numerical examples. Finally, the definition of inverse transform of interval valued functions is proposed, and as an application, a production inventory model in interval uncertainty is studied using all of the proposed theoretical results.