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Value added product is an industrial term referring a minor addition to some major products. In this paper, we borrow the term to denote a minor semantic addition to the well known association rules. We consider the addition of numerical values to the attribute values, such as sale price, profit, degree of fuzziness, level of security and so on. Such additions lead to the notion of random variables (as added value to attributes) in the data model and hence the probabilistic considerations of data mining.