一种基于“垂面”距离和IFE的直觉模糊多属性决策方法

提出了一种属性权重未知情境下的基于“垂面”距离和直觉模糊熵(intuitionistic fuzzy entropy,IFE)的直觉模糊多属性决策方法。该方法针对基于相对欧氏距离的直觉模糊TOPSIS法中出现的逆排序问题,将“垂面”距离引入到直觉模糊决策理论中,通过将“垂面”距离对欧氏距离进行替换,提出了一种基于“垂面”距离的直觉模糊多属性决策规则;基于IFE最小原理和“垂面”距离最小思想,构建了融合主客观信息偏好的属性权重确定模型。最后给出了一个算例验证了该方法的有效性和实用性。

A Multi-Attribute Decision-Making Method in Intuitionistic Fuzzy Set based on Vertical Projection Distance and IFE

This paper presented a new method for intuitionistic fuzzy multi-attribute decision-making problems with unknown attribute weight information based on vertical projection distance and intuitionistic fuzzy entropy(IFE). In the proposed model, we substitute vertical projection distance for relative Euclidean distance in traditional TOPSIS, which has obvious drawback on reverse order, to develop a new ranking alternatives rule for intuitionistic fuzzy multi-attribute decision-making; we construct a nonlinear programming model based on minimizing vertical projection distance and intuitionistic fuzzy entropy(IFE), which combines subjective information preferences with objective ones to determine the attribute weight, and obtain the optimal alternative; Finally, an numerical example is given to illustrate the efficiency and applicability of the proposed method.