Nabla Hukuhara differentiability for fuzzy functions on time scales

摘要

ublishercopyright>? 2019 International Association of Engineers.? 2019 International Association of Engineers. In this paper, we introduced a new class of derivative called nabla Hukuhara derivative for fuzzy functions on time scales under Hukuhara difference. We proved the uniqueness and existence of this derivative and obtain fundamental properties. The nabla Hukuhara derivative of scalar multiplication, sum and product of two fuzzy functions on time scales are established.In this paper, we introduced a new class of derivative called nabla Hukuhara derivative for fuzzy functions on time scales under Hukuhara difference. We proved the uniqueness and existence of this derivative and obtain fundamental properties. The nabla Hukuhara derivative of scalar multiplication, sum and product of two fuzzy functions on time scales are established.