A fuzzy association algebra based on a fuzzy object oriented data model

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.