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In a personalized recommender system of a ubiquitous computing environment, the decision on recommendation depends on some uncertain factors. Fuzzy system has an ability of solving the reasoning uncertainty, and gets widely used in the context awareness based personalized recommender system. In this paper, we present a fuzzy reasoning model based on the Fuzzy Petri Net. The model considers the requirements of task fulfillment, user's preferences and QoS of the system. With difference from those existing recommender systems, we focus on the formalized modeling of fuzzy reasoning of the personalized recommendation. Through formalization of fuzzy reasoning, we propose an approach to construct a rule-based reasoning system. The feasibility of the proposed approach is validated by an example of the personalized recommender engine.