Decision-Making under Interval Probabilities by the Maximum Entropy Principle

Decision-making under interval probabilities is a special one lying between uncertain decision-making and risky decision-making. We presented the definition of n-dimension interval probabilities firstly. Then we put forward the condition to decide whether interval probabilities are reasonable. Finally based on the Maximum Entropy Principle, we set up a model to estimate the point distribution from interval probabilities, and proposed a practical method to infer the point probability from interval probabilities, which converted the decision-making under interval probabilities to the risky decision-making.