The correlation is as follows
PI system is a modern organization form of scientific and technological activities with academic leaders as the core and appropriately equipped with resources such as manpower, equipment and funds. In this organizational unit, academic leaders are in the supreme position, not only bearing the responsibility of maintaining the existence, sustainability and development of the unit, but also having full power.
Professor is the highest level of university teachers' titles. In Chinese, the word "professor" comes from the meaning of "imparting knowledge to dispel doubts", which is the name of academic officials in ancient China. This position was set up in universities during the Han and Tang Dynasties in China. This word has nothing to do with English. In Japanese, "professor" is used together with Chinese to address teachers in universities.
Professor is a title in the higher education system. Most of them refer to senior teachers and researchers who teach in universities or community colleges, but there is a difference between professors and researchers. Professors have teaching tasks, but researchers don't.