For risk multi-attribute decision making problems with interval probability and uncertain linguistic variables,
a decision making method based on prospect theory is proposed. Firstly, the prospect value function of the uncertain
linguistic variables and the weight function of interval probability are constructed, and the prospect value of attribute for
every alternative is calculated. Then the weighted prospect value of alternative is acquired by using weighted average
method according to attribute weights, and all the alternatives are sorted according to the expected values of the weighted
prospect values. Finally, an illustrate example is given to show the decision-making steps, the influence on decision making
for different parameters of value function, different decision-making reference point and different weight function, and the
feasibility of the method.