Several service-oriented approaches promote the intention concept as a way to describe and document services based on user's requirements. However, these approaches have two main limitations: (1) they don't take into account the fact that a user evolves in a context that can influence his intentions, and (2) at the software service level, the corresponding intentional description of these software services is missing. Such a description should be a high level one, which is not directly connected to the software services. The objective of the paper is to propose a semantic service description that considers both intention corresponding to the service and context in which it is supposed to emerge. In addition, the variability embedded in the intentional description can be also affected by the user context. Such influence is also considered in our proposition.