Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory

Abstract

This study provides a new characterization of the switching points for generalized Hukuhara differentiable fuzzy-valued functions. New results on generalized Hukuhara differential and integral calculus for fuzzy-valued functions are developed.Also some Ostrowski-type inequalities for fuzzy-valued functions are obtained, with which is formulated a new quadrature rules to deal with integral of fuzzy-valued functions and show that our results are better than previous ones. Moreover, numerical examples are provided in order to illustrate the applicability of the mathematical tools developed herein.