In this paper we are concerned with the problem of designing of a conceptual framework for the representation needs of conflicting but still certain data, in multi-source temporal environments. We put forward a proposal based on the assumption that conflict and uncertainty are dual properties. We believe that the querying of certain but conflicting information bases will always provide possible but not always definite answers. We start by positioning conceptual schema, database with regard to this problem as part of a three-layer architecture for capturing and representing the dual properties conflict and uncertainty. Then we distinguish lattice structures as the central task in query answering considering the conceptual, instance level always with respect to the dynamism-dimension of data.