Improved Shapley Value In Fuzzy Environment And Its Application In The Alliance Of The Flower Cold Chain Logistics

With the continuous increase in annual production and sales of flowers in China,cold chain logistics of flowers has gradually become a new branch of the logistics system.Nevertheless,the cold chain logistics of flowers in China is still in its early stages,and there are still many problems,such as the small and scattered scale of specialized third-party cold chain logistics,which cannot exert the logistics scale effect;The backwardness of logistics technology leads to the widespread phenomenon of "chain breakage";The level of logistics cold chain is low,and the loss rate of flowers during the logistics process is too high;The low level of informatization and poor synergy between upstream and downstream of the flower supply chain have become the key to effectively solving these problems in the development of flower cold chain logistics.In this context,promoting the formation of flower cold chain logistics alliances among enterprises is an effective way to reduce logistics costs,improve logistics quality,and enhance cooperation between upstream and downstream enterprises in the flower supply chain.To maintain the stability of the alliance,reasonable distribution of alliance benefits has become the main task after forming the alliance.Based on this,this article proposes a revenue allocation strategy that represents alliance values using interval values and triangular fuzzy numbers,taking into account the contribution of all sub alliances participated by players to the major alliance,to promote the formation of stable and sustainable alliances for flower cold chain logistics enterprises.The research direction of this article is consistent with the concept of new rural development,and the specific research work revolves around the following aspects:(1)Analyze the characteristics of flower cold chain logistics transportation and its differences from traditional logistics industries,the current development status of flower cold chain logistics industry,the main problems in China’s flower cold chain logistics,and the accumulated experience in development;Investigate the functions and motivations of establishing alliances for flower cold chain logistics enterprises,analyze their effects,and explore the impact of cooperation on alliance profits;Introduce the necessity of establishing a cold chain logistics alliance for flowers,and introduce the operational models of horizontal and vertical cold chain logistics alliances for flowers;A brief review of the basic elements and mathematical representations of cooperative games,classic Shapley values,and fuzzy cooperative games lays the foundation for the distribution of cooperative benefits in flower cold chain logistics alliances.(2)Based on the Shapley value,corresponding improvements have been made to address the unique nature of flower cold chain logistics.On the one hand,full consideration has been given to the contribution of all sub alliances participated by the players to the major alliances;On the other hand,replace the marginal contribution of players in the Shapley value with the least squares contribution of players.On this basis,an in-depth study was conducted on the impact of the weights of all sub alliances in which players participate,i.e.alliance weights,on the allocation strategy of cooperative benefits.Based on the theory of fuzzy cooperative game,a series of cooperative game models and their solutions are proposed,in which alliance values are represented by interval values and triangular fuzzy numbers.A series of cooperative game models and their solutions are proposed,which consider the contribution of players to major leagues and the contribution of players’ weights to major leagues.The newly constructed improved Shapley values are axiomatically characterized to verify their rationality and effectiveness.(3)Conduct cost accounting for horizontal and vertical flower cold chain logistics alliances under different cooperation modes,and construct a utility function to calculate the total revenue of the alliance under different cooperation modes,thereby mobilizing the enthusiasm of alliance members to participate in cooperation.Based on the excess contribution of the cooperative alliance,and based on different cooperative backgrounds and allocation principles,the corresponding cooperative income allocation strategy is obtained using the fuzzy cooperative game solution created in this article that matches it.By comparing and analyzing the allocation strategies,it is evident that the series of income allocation models proposed in this article can not only meet the fair expectations of alliance members,but also comply with mathematical norms.They are a new fuzzy cooperative game solution proposed under the basic theoretical framework of fuzzy cooperative games,which can provide theoretical support and decision-making basis for the cooperative income allocation problem of flower cold chain logistics alliances.