Integration of Proximity Relations under Consistency Constraint

摘要

Though the data integration problem of relational databases has been well studied, little work addresses the problem in the context of fuzzy relational databases. The fuzzy relational model relies on the specification of either a similarity relation or a proximity relation for each scalar domain in the fuzzy database. Without the constraint of max-min transitivity, proximity relations can be defined in an intuitive way. This paper states a resolution in integrating multiple proximity relations. First, the closure property of weighted combination of multiple proximity relations is shown. Then, the notion of consistency constraint is defined. It has been proved that the weighted combination of proximity relations under such constrain Is still consistent with each of the proximity relations prior to their integration.