The increase of source／network／load uncertainties in power system operations makes the prerequisites of deterministic dispatching methods more and more difficult to satisfy in current power systems. Prediction

analysis and decision-making methods under uncertainty have been developed rapidly. However

as the basis of dispatching in uncertain environment

the statistical rules of the source／network／load are still uncertain for themselves

which directly affect the effectiveness of the decision-making methods and cannot be ignored simply. Recently

researchers begin to focus on the higher-order uncertainty problems and put forward information acquisition methods and optimal dispatching methods in view of the uncertain probability distributions. In this context

the higher-order uncertainty problems existing in renewable generation

load response capacity and power generation／transmission equipment are analyzed concentrating on the clue of the higher-order uncertainty

the existing analysis and decision-making methods under higher-order uncertainty are introduced. Finally

the key problems and future research directions in this field are summarized and expected.