Purpose:Preconcepts have received widespread attention for their ability to mine two types of information:which attributes an object shares and which objects it shares.Both interval set theory and three-way decision are developed based on rough set theory.In combination with formal concept analysis,the interval set concept lattice theory and three-way concept analysis have emerged.To fully explore the information contained in the knowledge context,it is necessary to expand the existing knowledge extraction methods mentioned above.Method and Results:This article combines the preconcept,interval set,and three-way decision in the fuzzy context to obtain the attribute-induced three-way interval-set fuzzy preconcept,namely the AE-interval-set fuzzy preconcept.Subsequently,construct its lattice structure and establish rough upper and lower approximation operators to achieve the mining of unknown knowledge,and then verify the various results obtained with examples.Conclusion:The research results deeply integrate interval set theory and formal concept analysis,providing a feasible method for knowledge extraction and information mining.