Aiming at the problem of linguistic decision-making information processing under uncertain environment,a method of rule extraction with confidence in inconsistent linguistic formal decision context with fuzzy object is proposed.The inconsistent linguistic formal decision context with fuzzy object is established to express the linguistic evaluation information of expert's hesitation between adjacent linguistic values.Based on the finer relation between linguistic concept lattices with fuzzy object,the consistency of linguistic formal decision context with fuzzy object is discussed.The definition of the confidence in rules is given.A method of rule extraction in inconsistent linguistic formal decision context with fuzzy object is proposed based on the confidence of linguistic rule.The effectiveness and practicability of the proposed method are illustrated by an example of predicting the overall performance of school students and an experiment.
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