基于改进的TODIM方法的区间灰数多属性决策模型基于改进的TODIM方法的区间灰数多属性决策模型.pdf

第 xx 卷 第 x 期 控 制 与 决 策 xxxx 年 x 月 Vol. xx No. x Control and Decision Xxx. xxxx 文章编号: 1001-0920 (0000) 00-0000-00 DOI: 10.13195/j.kzyjc.0000.0000 基于改进的TODIM方法的区间灰数多属性决策模型 王 霞, 党耀国 (南京航空航天大学 经济与管理学院，江苏 南京 211106) 摘 要: 针对属性值为区间灰数的多属性决策问题, 提出了一种基于改进的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, 给出了两两方案相比较时的收益和损失; 分析了经 典TODIM方法中优势度和全局价值的不足, 给出了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, 提出了一种改进的TODIM方法. 通过实例说明了该方法的有效性和可行性. 关键词: 区间灰数；TODIM方法；随机占优；优势度 中图分类号: TP273 文献标志码: A Multiple Attribute Decision-making Model with Interval Grey Number Based on Improved TODIM Method WANG Xia, DANG Yao-guo (College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, China. Correspondent：WANG Xia，E-mail：wangxia0509@163.com) Abstract: With regard to multi-attribute decision-making problems, in which the attribute value of alternatives are interval grey number, a multiple attribute decision-making method with interval grey number based on improved TODIM method is proposed. In view of the reference dependence of decision-maker’s psychological behavior traits, combing with the thoughts of stochastic dominance, the gain or loss was calculated by comparing one alternatives to other alternatives. By analyzing insuf?cient of the dominance degree and the overall value in classic TODIM method, the representation of new dominance degree and overall dominance degree of the gain or loss of one alternatives relative to the other