Dynamic logic program is an extension of answer set program for processing knowledge base updated problems, but it cannot describe and deal with knowledge base with preferences updated problems. Therefore, this paper proposes an extended dynamic logic programming language which is based on the dynamic logic program, extending the head of the rule to the form of ordered disjunctive and its optimal answer set semantics is also obtained. The new logic program has more powerful expressiveness and reasoning ability to describe and handle knowledge base with preferences updated problems;however, it does not increase the computational complexity. Applying the method mentioned above to the existing product recommendation system, so that users can get the recommended information with personalized features, to achieve the purpose of the personalized recommendation. Finally the example discusses the extension of dynamic logic program in the application of products personalized recommendation.