1. Research on profit distribution mechanism of industrial innovation platform based on Grey System Theory
Wang lei，Tan qingmei
Nanjing University of Aeronautics & Astronautics
School of economics and management

2. Abstract:
Industrial innovation platform is the engine of China's industrial structure transformation and upgrading in the new era, how to protect the interests of the cooperative units in the platform is an important factor to ensure the stable operation of the entire platform. Cooperative interest distribution is a complete and complex system engineering, which needs to consider the input, output, risk, brand and other factors. However, the constraints are often fuzzy constraint, coefficient is grey number. Therefore, this paper introduces the grey system theory, constructing Shapley value model for profit distribution based on grey system theory, constructing the Shapley value model, and the grey coefficients of the model will be treated with whitening. The model can promote the scientific distribution of benefits and ensure the sustainable operation of industrial innovation platform.

3. Introduction
Tan Qingmei based on the background of "Made in China 2025", put forward a concept: Intelligent production and service network system, new industry innovation platform. In this platform, production enterprises, research institutions, service units, formed a set of ideal cooperation and innovation system. In the new industry platform, the status of the cooperative units are equal, But objectively speaking, all units are profitable for the purpose, How to distribute the profits fairly is an urgent problem to be solved. Generally speaking, the distribution of cooperation benefits will be determined by the size of the input of production factors, the number of core technology provided, and the size of the risk taking. According to the prescribed weight，distribution agreement reached between the various cooperative units, usually use the Shapley value method, But in the actual production, the input of labor, capital and technology will be changed which with the change of the cooperation mode and the market situation, and the price of input factors in the productive process may also vary with the market fluctuations. When in the process of cooperation，if someone feels that the investment is too large, propose to redistribution without consent of other partners, alliance may face collapse. So the dynamic fluctuations in the market, general Shapley value method to deal with the problem of profit distribution, often the final distribution that partners are not satisfied. This will lead to the collapse of the cooperation mechanism in the new industry innovation platform. According to the above situation, in this paper, the grey theory is introduced into the traditional Shapley value method, more scientific distribution of profits to the platform of the cooperative units.

4. Industry innovation platform Shapley value benefit distribution model
According to the interest distribution mechanism of industrial innovation platform and the definition of Shapley value, builds up cooperative profit distribution model. Assuming there are n units in an industry innovation platform, including production enterprises, R & D institutions, service agencies and other units. The benefits of their cooperation are greater than at least equal to the sum of the benefits created by the individual. Make S is a cooperative alliance of industry innovation platform, In order to facilitate the study of this paper, taking an including production enterprise X, a R & D institution y, a service agency Z in the industrial innovation platform that forming a coalition S, so S=x,y,z. According to the formula of Shapley value:

6. However, in the actual distribution process, often pre-assigned before cooperation, distribution information is not completely determined. Therefore, the concept of grey number is introduced into Shapley value in this paper. And then estimate the revenue function. Making ⨂ indicate grey number, that:

8. Set grey number Vi⨂=Vi. +δi, Vi
Set grey number Vi⨂=Vi*+δi, Vi* Y is the whitening value, is also the most likely value, δi is disturbance grey element, taking the whitening value Vi* brought into the above three type, we can get the most probable distribution of profits.
By introducing the grey system theory, make Shapley value model can better describe the distribution of reality, more guiding role.

9. Model uncertainty risk prediction
Due to the introduction of grey number in the Shapley model, uncertainty of grey number resulted in revenue estimation risk of each unit in the industry innovation platform, including individual low & high estimated risk. Among them, individual low estimate risk includes individual absolute low estimate risk Rli and individual relative low estimate risk rli, individual high estimated risk includes individual absolute high estimate risk Rhi and individual relative high estimate risk rhi. When the grey value of the profit distribution Vi(⨂) is determined, individual low estimated risk the greater, individual high estimated risk the lower, express the actual results are close to the upper limit of the gray value, that the result is the expectations of the parties to the cooperation.
Set up a unit of cooperation in the estimated profit distribution is Vi(⨂)∈(Vi,Vi), the ultimate realization of the profit distribution is Vi*, the risk of the unit is:

11. However, based on the grey system theory, the Shapley value model needs to estimate the income distribution of all the cooperative units in the industrial innovation platform, the low & high estimation risk of the cooperative alliance must be studied. Generally speaking, all the members in alliance S, who individual absolute high estimate risk the greatest, which is the alliance high estimate risk. And who individual absolute low estimate risk the greatest, which is the alliance low estimate risk. The risk of cooperative alliance is similar to the individual risk. When the grey value of the profit distribution Vi(⨂) is determined, the greater the risk of low estimates, and the lower the risk of high estimates in a cooperative alliance, the actual results are better. Set up low and high relatively estimated risk in cooperative alliance S are: Srli, Srhi. The degree of risk in cooperative alliance S is:

12. Conclusion
In the new period, the industrial structure of our country transition and upgrading is the focus of the work in this stage, the industrial innovation platform as the engine to drive China's industrial upgrading and the stability of its operation is the necessary conditions of industry technological innovation capability. Rational and fair benefit distribution mechanism is one of the important factors to ensure the stable operation of industrial innovation platform. Traditional Shapley value profit distribution method did not consider that uncertainty risk of marketing partnership, the result is partial to the ideal. Therefore, this paper the grey system theory is introduced into the Shapley value model, shows solving method. The introduction of grey numbers leads to the estimated risk of the original Shapley model, we give a metric method, and through the industrial innovation platform cooperation model empirical analysis, an example is given to illustrate the method of using the new model. Through the empirical analysis on the cooperation model of industrial innovation platform, illustrates the use of the new model for example.

13. Thank you for listening！