Based on interval fuzzy sets

the inductive learning space is fuzzified

the distinction interval is newly defined to measure the learnable performance of concepts to be learned. By applying the operator of partition for basic event space

the value of distinction interval and the effieiency of inductive learning for concepts to be learned are improved.Fuzzy inductive learning Algorithm （ILA） is presented for fuzzy inductive Learning problems. In terms of the example sets of concepts offered by experts

algorithm ILA can learn fuzzy inference rules about concepts to be learned. Finally

the complexity of algorithm ILA is also discussed.