Improved Shapley Value with Trapezoidal Fuzzy Numbers and Its Application to the E-Commerce Logistics of the Forest Products
With the rapid development of e-commerce, the traditional trade mode of forest products has undergone significant changes. Logistics as a key factor to support e-commerce trade is particularly important to build a reasonable e-commerce logistics model of forest products. In the logistics service ind...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-01-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/15/1/444 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841549336243077120 |
|---|---|
| author | Jiacai Liu Minghao Liu Lifen Hong Qingfan Lin |
| author_facet | Jiacai Liu Minghao Liu Lifen Hong Qingfan Lin |
| author_sort | Jiacai Liu |
| collection | DOAJ |
| description | With the rapid development of e-commerce, the traditional trade mode of forest products has undergone significant changes. Logistics as a key factor to support e-commerce trade is particularly important to build a reasonable e-commerce logistics model of forest products. In the logistics service industry, the issue of cooperative profit allocation of logistics alliance has been crucial and prevalent. However, logistics alliances often face the problem of incomplete information, such as the ambiguity of transportation cost and driving distance, which makes it difficult to effectively apply many classical cooperative game solutions. Therefore, this paper introduces an improved Shapley value for cooperative games in fuzzy situations regarding unclear profit allocation in e-commerce logistics alliance of forest products. This value maximizes the satisfaction of the players by minimizing the contribution excess, according to which the trapezoidal fuzzy number least square contribution is calculated. Based on this, we replace the marginal contribution of the classical Shapley value with this least square contribution, thus creating the improved Shapley value with trapezoidal fuzzy numbers. Through the verification of actual cases, this method not only has theoretical value, but also provides effective guidance for the actual profit allocation of e-commerce logistics alliance of forest products, which helps to promote the stability and sustainable development of alliance. |
| format | Article |
| id | doaj-art-34ccf8d14d164af2a69ce3e238c8069a |
| institution | Kabale University |
| issn | 2076-3417 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-34ccf8d14d164af2a69ce3e238c8069a2025-01-10T13:15:34ZengMDPI AGApplied Sciences2076-34172025-01-0115144410.3390/app15010444Improved Shapley Value with Trapezoidal Fuzzy Numbers and Its Application to the E-Commerce Logistics of the Forest ProductsJiacai Liu0Minghao Liu1Lifen Hong2Qingfan Lin3College of Transportation and Civil Engineering, Fujian Agriculture and Forestry University, Fuzhou 350108, ChinaCollege of Transportation and Civil Engineering, Fujian Agriculture and Forestry University, Fuzhou 350108, ChinaCollege of Transportation and Civil Engineering, Fujian Agriculture and Forestry University, Fuzhou 350108, ChinaCollege of Economics and Management, Fujian Agriculture and Forestry University, Fuzhou 350002, ChinaWith the rapid development of e-commerce, the traditional trade mode of forest products has undergone significant changes. Logistics as a key factor to support e-commerce trade is particularly important to build a reasonable e-commerce logistics model of forest products. In the logistics service industry, the issue of cooperative profit allocation of logistics alliance has been crucial and prevalent. However, logistics alliances often face the problem of incomplete information, such as the ambiguity of transportation cost and driving distance, which makes it difficult to effectively apply many classical cooperative game solutions. Therefore, this paper introduces an improved Shapley value for cooperative games in fuzzy situations regarding unclear profit allocation in e-commerce logistics alliance of forest products. This value maximizes the satisfaction of the players by minimizing the contribution excess, according to which the trapezoidal fuzzy number least square contribution is calculated. Based on this, we replace the marginal contribution of the classical Shapley value with this least square contribution, thus creating the improved Shapley value with trapezoidal fuzzy numbers. Through the verification of actual cases, this method not only has theoretical value, but also provides effective guidance for the actual profit allocation of e-commerce logistics alliance of forest products, which helps to promote the stability and sustainable development of alliance.https://www.mdpi.com/2076-3417/15/1/444profit allocationtrapezoidal fuzzy numberShapley valueforest productse-commerce logistics |
| spellingShingle | Jiacai Liu Minghao Liu Lifen Hong Qingfan Lin Improved Shapley Value with Trapezoidal Fuzzy Numbers and Its Application to the E-Commerce Logistics of the Forest Products Applied Sciences profit allocation trapezoidal fuzzy number Shapley value forest products e-commerce logistics |
| title | Improved Shapley Value with Trapezoidal Fuzzy Numbers and Its Application to the E-Commerce Logistics of the Forest Products |
| title_full | Improved Shapley Value with Trapezoidal Fuzzy Numbers and Its Application to the E-Commerce Logistics of the Forest Products |
| title_fullStr | Improved Shapley Value with Trapezoidal Fuzzy Numbers and Its Application to the E-Commerce Logistics of the Forest Products |
| title_full_unstemmed | Improved Shapley Value with Trapezoidal Fuzzy Numbers and Its Application to the E-Commerce Logistics of the Forest Products |
| title_short | Improved Shapley Value with Trapezoidal Fuzzy Numbers and Its Application to the E-Commerce Logistics of the Forest Products |
| title_sort | improved shapley value with trapezoidal fuzzy numbers and its application to the e commerce logistics of the forest products |
| topic | profit allocation trapezoidal fuzzy number Shapley value forest products e-commerce logistics |
| url | https://www.mdpi.com/2076-3417/15/1/444 |
| work_keys_str_mv | AT jiacailiu improvedshapleyvaluewithtrapezoidalfuzzynumbersanditsapplicationtotheecommercelogisticsoftheforestproducts AT minghaoliu improvedshapleyvaluewithtrapezoidalfuzzynumbersanditsapplicationtotheecommercelogisticsoftheforestproducts AT lifenhong improvedshapleyvaluewithtrapezoidalfuzzynumbersanditsapplicationtotheecommercelogisticsoftheforestproducts AT qingfanlin improvedshapleyvaluewithtrapezoidalfuzzynumbersanditsapplicationtotheecommercelogisticsoftheforestproducts |