Abstract:

The attribute association has an impact on the hesitant fuzzy multi-attribute decision-making results. It is particularly important to characterize the measurement of attribute association and clarify its impact on the decision-making results. By introducing the 2-additive Choquet integral and utilizing the 2-additive fuzzy measure to characterize attribute association, this study explores its impact on the positive and negative ideal points in the technique for order preference by similarity to ideal solution (TOPSIS). An improved TOPSIS method is designed by using Zhenyuan integral to comprehensively characterize the correlation between multiple attributes. The results show that the distance between the solution and the positive and negative ideal solutions is smaller when the attributes are mutually substituted than when the attributes are independent. When attributes complement each other, they tend to be larger. The distance between the solution and the positive and negative ideal solutions under attribute correlation monotonically increases. The effectiveness and accuracy of the proposed method in characterizing the fuzzy attribute correlation of hesitation and improving decision results are demonstrated.

Key words: multi-attribute decision-making, hesitant fuzzy set (HFS), attribute association, technique for order preference by similarity to ideal solution (TOPSIS)