关键词: 前景理论, 量子进化算法, 区间直觉模糊数, 多属性决策

Abstract: This paper presents a multi-attribute sorting method applied to problem whose information on weights is partly known and attribute values are interval intuitionistic fuzzy numbers. The method is based on prospect theory and quantum evolution algorithm. According to prospect theory and fuzzy numbers’ distance formula, it defines interval intuitionistic fuzzy numbers’ prospect value function. Meanwhile, it brings decision makers’ risk preference of project into decision-making behavior. The nonlinear programming model based on projects’ comprehensive prospect value maximization can be constructed. By putting quantum evolution algorthm, the optimal weight vector of model can be solved. The projects’ comprehensive prospect values determine the order. This method is applied to fuzzy decision making environment, can meet decision makers who do not provide determining attribute weights, and fully consider risk psychological factor’s influence on decision behavior. Thus it has wide range of application value. At the end, a numerical example shows the effectiveness and feasibility of the method.

Key words: prospect theory, quantum evolution algorithm, interval intuitionistic fuzzy number, multi-attribute decision-making