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User's involvement in creating contents of the web is an essential element of Web 2.0 and social software. One example of such involvement is a process called tagging: users annotate digital items, called resources, with labels, called tags. Tags used for annotation represent users' categorization and perception of resources. As the result a network of interconnected resources and tags is created. Such a network is meant to simplify a search process for relevant content. The paper introduced the idea of constructing fuzzy sets based on the network of resources and tags. One of possible ways of building fuzzy representation of tags is proposed and described here. It is shown how those fuzzy sets can be used for search purposes.