Abstract
An issue in extending database management functionalities is to increase the expressiveness of query languages. Flexible querying enables users to express preferences inside requirements and priorities inside compound queries. The answers are then qualified and sorted out. The fuzzy sets theory offers a general framework for dealing with flexible queries. Moreover the bag type plays an important role in databases. Systems taking into account both flexible queries and bags define fuzzy bags. A new approach of this concept, based on the notion of fuzzy cardinalities, is presented in this paper. Fuzzy cardinalities provide a general framework in which different collection types: set, fuzzy set, bag and fuzzy bag are treated in a uniform way and can then be composed. We show how they can be used to build up flexible queries and to manipulate both quantitative and qualitative information on the elements of collections.
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