Extenics is a theory to solve the contradiction problem, it will be a new way to look for and find knowledge through analysis the contradiction and transformation the result of the data mining using the extension methods. In this paper, introduced the matter-element and extension set that is the base of the extenics, researched the way to find out and generate the new knowledge that help by the divergence, change and transformation based on the extension. Provide the model of the feasible and the optimal. Design the procession of the knowledge discovery and preferred. the research on the knowledge discovery based on the extension, these research will be expand the ways to find out knowledge.
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