Abstract

The complexity of real applications in the field of intelligent information systems has required fuzzy data models for the expression and processing of uncertain and imprecise data. We propose a fuzzy association algebra (FA-algebra) as a query algebra for a new fuzzy object oriented data model (F-model). The F-model is investigated as fuzzy extensions of an object oriented data model, in which fuzzy objects and their fuzzy associations are represented. In FA-algebra, fuzzy objects and fuzzy associations are uniformly represented by fuzzy association patterns. As the results of operations by the operators defined in the FA-algebra, the returned fuzzy association patterns contain the truth values which mean the degrees of suitability of patterns as answers for the queries. The completeness of the FA-algebra is shown.

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