Application of Gray Correlation Theory for the Impact Factor Analysis of the Integrative Development of the Sports Industry and Tourism Industry

Abstract

The rapid growth of economic and difference changes of income levels ushered the changes of market demand; and in order to meet the changing times the tourism products is developing toward leisure, sports and other various aspects. In the background of integrated development of various industries, this article analyzes the impact factor for the integrated development of the sports industry and tourism industry, in order to explore the correlation degree of the various influencing factors for the industrial integrated development and forward momentum of industrial development, provides an objective basis and feasible proposal for the development of China's sports tourism industry. This paper first theoretically describes the mathematical model of gray relational analysis, by analyzing the mathematical model derives the ideas and solving steps of research methods, and then selects the benefits condition of CTS Sports Travel Co., Ltd. since its inception in 2003 to 2010, and resource factor and demand factor that impacts industrial development, and quantifies the benefits and various factors, and finally uses the gray correlation analysis method to obtain the correlation matrix between the benefits and various factors, and by analyzing concludes the correlation matrix. The results show that the correlation of benefits and resource factor for integrated sports industry and tourism industry is big than demand factor, on the basis of resource factors and demand factors two attribute classifications and correlation matrix, obtains the closely related impact factor, generally correlation impact factors, and weak correlation impact factors three categories, carries through dialectical analysis on the reasonableness of the impact factor from a historical perspective, a technical perspective and a data perspective.