Visualization diversity is a core resource for interpreting and getting insights about data. Different representations can support real-time decision-making and make more knowledge available for forecast and planning processes involving historical data analysis. Cognitive characteristics of visualization resources are crucial for visualization and insights environments. We present an initial tailored definition of Cognitive Dimensions of Notations (CDN) to support the evaluation and (re)design of such an environment. Using WISE (Weather InSights Environment) as a use case, we show evidences of how the tailored CDN can support HCI evaluation and discussions about the (re)design.