In the new era of rapid development of e-commerce and increasingly convenient mobile payment, the online and offline business model is increasingly becoming an important direction for the transformation and upgrading of retail enterprises, affecting the management and investment decisions of retail enterprises. Whether online and offline integration has a synergistic effect on physical retail enterprises remains to be seen. This paper analyzes and evaluates the performance of online and offline integration of Rainbow Shares by using the catastrophe progression method combined with the entropy method. The combination of these two methods provides new ideas for research in retail development.

This study on various kinds of footwear in the Late Qing Dynasty and the Republic of China (1840-1949) is based on the collections in the Folk Costume Museum of Jiangnan University. The utility functions of the various kinds of footwear are introduced in depth according to their different formation features and ergonomics. The basic utility function of the traditional footwear is to meet the basic needs of the body (mainly the foot) and people’s daily life with the special design of material, shape-making, craft skill and relevant foot accessories in the process of making and using of footwear under certain material conditions, such as abrasion resistance, anti-skidding, waterproofing, and warmth retention, etc. In addition, the traditional Chinese footwear has some comfortable and hygienic functions, such as hygroscopicity, breathability, antibacterial property, deodorization and foot massage and so on, which has much reasonableness and practical value for wearing. Therefore, the utility function of traditional footwear in Modern China is not an empty, isolated or intentional addition, but constantly discovered, summed up and amended in people's long-term living and working.