基于“离合”思想的混合型灰色多属性决策方法

针对方案属性值为三参数区间灰数和模糊语言的混合型灰色多属性决策问题, 提出一种基于“离合”思想的混合灰靶决策方法. 首先, 定义三参数区间灰数的距离测度和排序方法; 然后, 鉴于灰信息与模糊信息相互转化的信息损失问题, 定义?? 维模糊球形灰靶和?? 维混合球形灰靶, 讨论正负靶心的情形, 并利用奖优罚劣原则构造综合靶心距, 建立混合正负靶心灰靶决策模型; 最后, 将所提出的方法应用于黄河宁蒙段防凌防汛的方案择优问题, 分析了属性权重和决策者风险偏好的选取对决策的影响, 结果验证了所提出方法的合理性和有效性.

Hybrid grey multiple attribute decision-making method based on “clutch” thought

In view of hybrid grey multiple attribute decision making problems, in which the attribute value of alternatives are three-parameters interval grey number and fuzzy language, a hybrid grey target decision method based on “clutch”thought is proposed. The distance measure and ranking method of three-parameters interval grey numbers is defined. With regard to the information loss of mutual transformation between grey and fuzzy information, the ?? dimensional fuzzy spherical grey target and ?? dimensional hybrid spherical grey target are defined. The positive and negative clout is discussed by using the rewarding good and punishing bad principle, the comprehensive off-target distance is constructed, and a hybrid grey target model with the positive and negative clout is set up. Finally, the method is applied to the Ningxia and Inner Mongolia reach of the Yellow River ice prevention optimal solution selection problem, and the influence of attribute weights and decision maker’s risk preference selection is analyzed. Results show the rationality and effectiveness of the proposed method.