关键词: 区间灰数, 时间度, 前景理论, 前景价值函数

Abstract: With regard to dynamic multi-attribute decision-making problems, in which the attribute value of alternatives is interval grey number, a dynamic multi-attribute decision making method based on prospect theory is proposed. Distance measure of interval grey number is defined. In view of differences and volatility of the evaluation objects in the timing, an optimized model based on entropy and time degree is built to determine time weight. The prospect value function is determined with reference to each other alternatives, and a multi-index optimization model can be built to solve the optimum weight vector, then the alternatives are ranked based on integrated prospect values. An example is also presented to illustrate the usefulness and effectiveness of the proposed method.

Key words: interval grey number, time degree, prospect theory, prospect value function