Mining preferred traversal patterns is to discover the preferred patterns in users browsing paths and behaviors.In this paper,mining preferred traversal patterns in fuzzy environment is devoted.Linguistic terms reflecting the importance of web pages are characterized as fuzzy linguistic variables which can be transformed as corresponding fuzzy weights expressing different degree of the importance.Besides,we characterize the viewing time for a web page as fuzzy variable.By the comparison of different expected values of viewing time on different web pages,it is clear that users show different interest in these web pages.Another factor,browsing times,is considered by selection preference.Based on the presented consideration a new concept of weighted fuzzy preference is proposed to replace the traditional concept confidence during the mining process.Furthermore,an novel algorithm based on FLAAT is developed to mine preferred traversal patterns.In the end an example is provided to clearly illustrate the proposed approach.