基于区间直觉模糊的动态多属性灰色关联决策方法

Dynamic multiple attribute grey incidence decision making mothed based on interval valued intuitionisitc fuzzy number

针对属性值为区间直觉模糊数且属性权重未知的一类决策问题,利用灰色关联分析方法的思想,构建了一种动态区间直觉模糊数多属性决策方法.首先利用区间直觉模糊数的运算法则和性质设计各时间段的正负理想方案,并以与正理想方案灰色关联度偏差最小化为目标构建了多目标规划模型,确定属性权重;然后通过计算各时间段各方案对正、负理想方案的区间直觉模糊数的灰色关联度,构建方案优属度模型,并求解方案优属度的表达式,确定方案的优势度;最后通过一个案例验证了所提出的构建方法的有效性和可行性.

For the decision making problem that the attribute value is interval valued intuitionisitc fuzzy number and the attribute weights are unknown,a dynamic multiple attribute decision making method with interval valued intuitionisitc fuzzy number based on the grey incidence analisis is proposed.Firstly,the algorithms and properties of the interval valued intuitionisitc fuzzy number are used to construct the positive and negative ideal scheme for each time period,and tthe multi-objective programming model with the minimum deviation of the grey incidence degree between each scheme and the positive ideal scheme for each stage is built to determine the attribute weights.Then the grey incidence each stage degree with interval valued intuitionisitc fuzzy number between each scheme and the positive and negative ideal scheme for each stage is calculated to eastablish the optimization model of the optimal membership degree for scheme,so that the expressions form of the optimal membership degree for scheme is determined to solve the optimal membership degree for scheme.Finally,an example validates the feasibility and effectiveness of the proposed model.