## 5 Analysis of Calculation Examples
### Comparison of Profit Allocation Schemes of E-Commerce Logistics Alliance of Forest Products  
In the field of cooperative games, the classical profit allocation schemes include Shapley value and Banzhaf value. The improved Shapley value with trapezoidal fuzzy numbers considering contribution excess proposed in this paper is improved based on the classical Shapley value. Compared with the classical Shapley value, the improved Shapley value with trapezoidal fuzzy numbers takes into account the satisfaction of the players and can distribute the profits of e-commerce logistics alliance of forest products more fairly and reasonably.  
Figure 6 shows the profits of the three e-commerce logistics enterprises of forest products under different profit allocation schemes. Since the three e-commerce logistics enterprises of forest products have the same trend of changes in profits under different profit allocation schemes, Figure 6 is plotted using only the lower bound value of profits as a reference.  
Table 7 shows the profits of e-commerce logistics enterprises of forest products under the classic Shapley value profit allocation scheme, from which it can be seen that the lower limit values of the profits of e-commerce logistics Enterprises A, B, and C are CNY 1300, CNY 1461, and CNY 1681, respectively, and the lower limit values of the final profits are CNY 1146, CNY 1445 and CNY 1851, respectively, under the improved Shapley value profit allocation scheme. Under the classic Shapley value profit allocation scheme, the incremental value of the lower limit of profit after Enterprise A joins the grand alliance is CNY 857, an increase of 93.45% year-on-year; under the improved Shapley value profit allocation scheme, the incremental value of the lower limit of profit after Enterprise A joins the grand alliance is CNY 703, an increase of 58.69% year-on-year. In contrast, the incremental value of the lower limit of grand alliance after Enterprise A joins the grand alliance is CNY 2760, an increase of 64.09 percent year-on-year. Compared with the 93.45% year-on-year increase in profit of Enterprise A in the classic Shapley value, the 58.69% year-on-year increase in  
Figure 6: Profit of e-commerce logistics enterprises of forest products under different profit allocation schemes.  
profit of Enterprise A in the improved Shapley value is closer to the 64.09% year-on-year increase in profit of the grand alliance after Enterprise A joins the grand alliance, which is more in line with the actual situation of profit allocation of the e-commerce logistics alliance of forest products, and this better embodies the principle of distribution according to labor and improves the e-commerce logistics enterprises' satisfaction of forest products.  
From Table 8, it can be seen that the final profit lower bounds of e-commerce logistics Enterprises A, B, and C under the Banzhaf value profit allocation scheme are CNY 1149, CNY 1311, and CNY 1530, respectively, with a total profit of CNY 3990. However, this cannot fully distribute the cooperative profit of CNY 4442, which fails to meet the efficiency of cooperative game; however, under the improved Shapley value profit allocation scheme, the final profit lower bounds of e-commerce logistics Enterprises A, B, and C are CNY 1146, CNY 1445 and CNY 1851, respectively, which can fully distribute the cooperative profit of CNY 4442, meeting cooperative game efficiency and better reflecting the actual profit allocation of e-commerce logistics alliance of forest products.