三角直觉模糊集的集结模型及其在多属性决策问题中的应用

Aggregation model of triangular intuitionistic fuzzy sets and its application in multi-attribute decision making problems

针对三角直觉模糊集在多属性群决策问题中的应用,首先,将由三角模糊数组成的专家偏好矩阵投影到空间坐标系中;其次,利用粒子群寻优算法依次集结不同专家针对同一方案、同一属性给出的三角模糊数评价,找出空间中加权距离之和最小的点,即为综合偏好点,并完成综合矩阵的构造;再次,利用TOPSIS方法选出正负理想解,进行方案评分、排序;最后,通过实例对该模型的高效性、准确性进行了验证。

Aiming at the application of triangular intuitionistic fuzzy sets in multi-attribute decision making problems,firstly,the expert preference matrix composed of triangular fuzzy numbers is projected into the spatial coordinate system.Secondly,the particle swarm optimization algorithm is used to aggregate the triangular fuzzy number evaluation given by different experts for the same scheme and same attribute,then find out the point with the smallest sum of weighted distances in the space,namely,the comprehensive preference point,and complete the construction of the comprehensive matrix.Thirdly,the TOPSIS method is used to select the positive and negative ideal solutions,and the schemes are graded and sorted.Finally,the efficiency and accuracy of the model are verified by examples.