  The expanding Cloud computing's services offers great opportunities for
consumers to find the best service and best cost. It offers a computing power
and a storage space adapted especially for Big Data processing. However, it
raises new challenges on how to select the best service out of the huge pool.
It is time-consuming for consumers to collect the necessary information and
analyze all service providers to make the right decision. Moreover, it'is a
highly demanding task from a computational perspective, because the same
computations may be conducted repeatedly by multiple consumers who have similar
requirements. Therefore, in this paper, we propose an approach based on
Analytic Hierarchy Process (AHP) method, which manages the selection of the
Cloud Service adequate to Big Data based on its parameters and criteria. We
applied this approach on a case study in order to validate its efficity. The
studied case is about the selection of the adequate Cloud Service for Big Data
in the context of National Health Service (NHS) of United Kingdom (UK).
