基于改进的TODIM方法的区间灰数多属性决策模型

针对属性值为区间灰数的多属性决策问题, 提出一种基于改进的TODIM方法的区间灰数多属性决策方法. 考虑决策者参照依赖的心理行为特征, 结合随机占优的思想给出两两方案相比较时的收益和损失; 分析经典TODIM方法中优势度和全局价值的不足, 给出新的优势度的表示方法和方案; 相对于其他方案收益和损失的总优势度的表示方法, 提出一种改进的TODIM方法. 最后通过实例说明了所提出方法的有效性和可行性.

Multiple attribute decision-making model with interval grey number based on improved TODIM method

With regard to multi-attribute decision-making problems, in which the attribute value of alternatives is interval grey number, a multiple attribute decision-making method with the interval grey number based on the improved TODIM method is proposed. In view of the reference dependence of decision-maker’s psychological behavior traits, combining with the thoughts of stochastic dominance, the gain or loss is calculated by comparing one alternative to other alternatives. By analyzing the insufficient of the dominance degree and the overall value in the classic TODIM method, the representation of the new dominance degree and overall dominance degree of the gain or loss of one alternative relative to other alternatives is given, then an improved TODIM method is proposed. An example is also presented to illustrate the usefulness and effectiveness of the proposed method.