Research On The Profit Allocation Of Enterprise Coalition With Interval-valued Fuzzy Numbers Of Product Prices

With the increasingly fierce competition of market and the rapid development of science and technology,the enterprises are difficult to survival and development only on themselves in the fierce competition.As an important form of enterprise cooperation,enterprise coalition can promote the complementary advantages between enterprises and realize the win-win business.But how to allocation the profit of enterprise coalitions fairly and rationality is one of the important factors influencing the formation and development of enterprise coalition.In essence,the enterprise coalition may be regarded as a type of cooperative games.The participants of the enterprise coalition are the players of the cooperative game,the profit function of the enterprise coalition is the payoff function of the cooperative game,and the profit allocation scheme of enterprise coalition is the solution of the cooperative game.There are three main types of enterprise coalitions:certain coalition which means that the enterprise either participate in a coalition completely or out of it completely;fuzzy coalition which means that the enterprise partly participate in a coalition with some degree of participation;intuitionistic fuzzy coalition which means that the enterprise partly participate in a coalition with some degree of participation and partly out of the coalition with some degree of non-participation.Based on the above three types of enterprise coalitions,this thesis studies the profit allocation of enterprise coalition when the product price is an interval-valued fuzzy number.This thesis establishes the cooperative game models with certain coalition,fuzzy coalition or intuitionistic fuzzy coalition and the payoff functions of interval-valued fuzzy numbers,and proposes profit allocation scheme to the participants,namely the solution of the cooperative game.Firstly,this thesis establishes the profit functions with interval-valued fuzzy numbers of the product price,parameters;and both of them.This thesis utilizes the continuous ordered weighted averaging operators to defuzzify the profit functions with interval-valued fuzzy numbers into crisp values.Solving the derivative of the crisp profit functions,the thesis obtains the equilibrium price and the interval of the profit of the enterprise coalition.Then,this thesis studies the profit allocation of the certain coalition,fuzzy coalition and intuitionistic fuzzy coalition cooperative game respectively.For the certain coalition cooperative game with interval-valued payoff,based on the definition of classic Shapley value,the thesis proposes the definition of Shapley value in the certain coalition cooperative game with interval-valued payoff.For the fuzzy coalition cooperative game with interval-valued payoff,according to the profit function of the certain coalition,using the method of Choquet integral and the degree of participation of enterprises,the thesis obtains the profit function of the fuzzy coalition cooperative game.Based on the mathematics axiomatic method of the classic Shapley value,the thesis presents the definition of Shapley value in the fuzzy coalition cooperative game with interval-valued payoff.For the intuitionistic fuzzy coalition cooperative game with interval-valued payoff,according to the profit function of the certain coalition,using the method of Choquet integral and the degree of participation and non-participation of enterprises,this thesis obtains the profit function of the intuitionistic fuzzy coalition cooperative game and then proposes the definition of Shapley value for the intuitionistic fuzzy coalition cooperative game with interval-valued payoff's.The research results can enrich the cooperative game theory and can be applied to the actual profit allocation of enterprise coalitions.