This paper is a summary about recent research progress that describes the basic methods utilizing basic theory and methods of Extenics to mine the knowledge based on transformations in various fields’ database and knowledge base (“extension knowledge” for short) . It’s shown by studies that the existing data mining theory and technology will be developed. These methods can be applied to the fields of marketing, customer relationship management, finance and securities, telecommunication, and medical treatment, etc., which will provide effective decision supports to solve the contradictory problems in these fields.