针对考虑决策者给出期望信息的风险型混合多属性决策问题,提出一种基于前景理论的决策分析方法.依据前景理论的思想,首先将决策者给出的各属性期望作为参照点,然后通过计算清晰数、区间数和三角模糊数三种形式属性值相对于参照点的收益和损失’分别建立了风险收益矩阵和风险损失矩阵,在此基础上,依据前景理论计算每个方案的综合前景值,并根据综合前景值的大小进行方案排序.最后,通过算例说明了提出方法的可行性.
A decision analysis method based on prospect theory is proposed to solve the risky hybrid multiple attribute decision making problem considering the decision maker's aspiration information. According to the idea of prospect theory, the decision maker's aspirations concerning attributes are firstly regarded as the refer- ence points. Then, by calculating the gains and losses for the attribute values in the forms of crisp numbers, interval numbers and triangular fuzzy numbers relative to the reference points, the risky gain matrix and risky loss matrix are constructed, respectively. Further, according to prospect theory, the comprehensive prospect value of each alternative is calculated. Based on the obtained comprehensive prospect values, a ranking of the alternatives is determined. Finally, a numerical example is used to illustrate the feasibility of the proposed method.