对方案有模糊互补偏好关系的模糊多属性决策法

研究了权重为区间数且对方案有模糊互补偏好关系的模糊多属性决策问题.首先,基于模糊互补判断矩阵的主观偏好信息,利用转换函数将决策信息一致化,并建立了目标规划模型.通过求解该模型得到属性的权重,运用加性加权法获得各方案的模糊综合属性值.其次,提出了基于方案的模糊正理想解与其模糊综合属性值相似度的方案排序法.该方法既能充分利用已有的客观信息,又能最大限度地体现决策者的主观意愿,且具有操作简便、易于上机实现的特点.该方法已应用于解决风险投资领域中项目评估问题.

APPROACH FOR FUZZY MULTI-ATTRIBUTE DECISION-MAKING WITH FUZZY COMPLEMENTARY PREFERENCE RELATION ON ALTERNATIVES

In presented fuzzy multi-attribute decision-making (FMADM) problems, the information about attribute weights is interval numbers and the decision maker (DM) has fuzzy complementary preference relation on alternatives. Firstly, the decision-making information based on the subjective preference information in the form of the fuzzy complementary judgment matrix is uniform by using a translation function. Then an objective programming model is established. Attribute weights are obtained by solving the model, thus the fuzzy overall values of alternatives are derived by using the additive weighting method. Secondly, the ranking approach of alternatives is proposed based on the degree of similarity between the fuzzy positive ideal solution of alternatives (FPISA) and the fuzzy overall values. The method can sufficiently utilize the objective information of alternatives and meet the subjective requirements of the DM as much as possible. It is easy to be operated and implemented on a computer. Finally, the proposed method is applied to the project evaluation in the venture investment.