This paper presents a description of the two completely contrary evaluation conclusions from two intercity train scheduling evaluation models based on the fuzzy mathematics,and an analysis of the fundamental reason causing these conflicting conclusions after comparing the differences between the two models.

The launching of intercity trains has becomea new profit-increase source for railway transportation enterprises.

Timetable optimization for inter-city train of transit type;

The competition structure of different inter-city transport forms has been gradually formed, among which the three main forms that named respectively inter-city trains, highways and civil aviation are competing more and more fierce.

The paper briefly reviews the basic competitive pattern of highway passenger transport with railway passenger transport in recent 20 years, analyzes the advantages and disadvantages between the two, defines the orientation of highway passenger transport rationally and proposes how the highway passenger transport to answer the competition from inter-city train transport.

Based on the classification to the density of passenger trains,the paper defined the conception of the density of the inter city trains (ICT) and analyzed correlative factors and statistic methods of ICT s density.

Under the grand developing background of passenger transport in the world railway,connected by the reform demands of railway passenger transport in China,inter city trains(ICT),a new product of passenger train,have been carried out to adapt the market and meet the needs of the economy and society development.