Functional Dependencies on Nested Attributes: Algebraic, Logical and Topological Perspective

Abstract

We summarise recent results on functional dependencies in nested databases that are generated by record, list, set and multiset constructor. There are three different perspectives from which functional dependencies can be viewed. The algebraic perspective is based on a Brouwerian algebra which is more general than the Boolean powerset algebra from the relational data model. The logical perspective shows that the implication of functional dependencies is equivalent to the implication of Horn clauses. The topological perspective results in an axiomatisation of functional dependencies that is reminiscent of Armstrong's original axiomatisation for relational databases.

Development of an Ontology-based Expert Recommendation System for Product Empirical Knowledge Consultation

“…For RC i in RC RC Store GC max GCmax = max {ConceptSim (RCi, GCj), ConceptSim (RCi, GC 'j)} j RC i is the number i concept name term set from requested product empirical knowledge concepts (i.e., RC i = {RC 1 , RC 2 , ... , RC i }). Attribute Name Set Matching based on Multi-experts: This step involves executing the attribute name set matching based on multi-experts by employing the Power Set method [24,25]. Figure 23 illustrates the algorithm procedure.…”