LH*—a scalable, distributed data structure
ACM Transactions on Database Systems (TODS)
Formal Concept Analysis: Mathematical Foundations
Formal Concept Analysis: Mathematical Foundations
Database Systems: The Complete Book
Database Systems: The Complete Book
Data Cube: A Relational Aggregation Operator Generalizing Group-By, Cross-Tab, and Sub-Totals
Data Mining and Knowledge Discovery
Proceedings of the twenty-fourth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
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Galois connections are bread and butter of the formal concept analysis. They concern objects with properties, represented typically as a single-valued (true or null) binary attributes. The closed sets and Galois lattices are the most studied connections. We generalize them to the relational database universe with the multi-valued domains. We show interesting queries that appear from, hard or impossible with SQL at present. As remedy, we generalize CUBE to a new operator we call θ-CUBE, writing T-CUBE It calculates the groups according to all the values of the θ operator popular with the relational joins. We show also the utility of new aggregate functions LIST and T-GROUP. In this context We finally discuss scalable distributed algorithms in P2P or grid environment for T-CUBE queries Our proposals should benefit to both: the data mining and the concept analysis over many objects.