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Efficient intensional redefinition of aggregation hierarchies in multidimensional databases

Published: 09 November 2001 Publication History
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    Enhancing multidimensional database models with aggregation hierarchies allows viewing data at different levels of aggregation. Usually, hierarchy instances are represented by means of so-called rollup functions. Rollup between adjacent levels in the hierarchy are given extensionally, while rollups between connected non-adjacent levels are obtained by means of function composition. In many real-life cases, this model cannot capture accurately the meaning of common situations, particularly when exceptions arise. Exceptions may appear due to corporate policies, unreliable data or uncertainty, and their presence may turn the notion of rollup composition unsuitable for representing real relationships in the aggregation hierarchies. In this paper we present a language allowing augmenting traditional extensional rollup functions with intensional knowledge. We denote this language IRAH (Intensional Redefinition for Aggregation Hierarchies). Programs in IRAH consist of intensional rules, which can be regarded as patterns for: (a) overriding natural composition between rollup functions on adjacent levels in the concept hierarchy, (b) canceling the effect of rollup functions for specific values. Our proposal is presented as a stratified default theory. We show that a unique model for the underlying theory always exists, and can be computed in a bottom-up fashion. Finally, we present an algorithm that computes the revised dimension in polynomial time, although under more realistic assumptions, complexity becomes linear on the number of paths in the hierarchy of the dimension instance.

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    cover image ACM Conferences
    DOLAP '01: Proceedings of the 4th ACM international workshop on Data warehousing and OLAP
    November 2001
    98 pages
    ISBN:1581134371
    DOI:10.1145/512236
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Published: 09 November 2001

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    • (2018)A user-driven data warehouse evolution approach for concurrent personalized analysis needsIntegrated Computer-Aided Engineering10.5555/1367103.136710815:1(21-36)Online publication date: 23-Dec-2018
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    • (2012)Enhancing flexibility and expressivity of contextual hierarchies2012 IEEE International Conference on Fuzzy Systems10.1109/FUZZ-IEEE.2012.6251176(1-8)Online publication date: Jun-2012
    • (2010)Context-aware generalization for cube measuresProceedings of the ACM 13th international workshop on Data warehousing and OLAP10.1145/1871940.1871961(99-104)Online publication date: 30-Oct-2010
    • (2010)Multigranular Manipulations for OLAP QueryingAdvances in Knowledge Discovery and Management10.1007/978-3-642-00580-0_6(97-112)Online publication date: 2010
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    • (2003)PrefaceMultidimensional databases10.5555/887433.887435(.007-.027)Online publication date: 1-Jan-2003

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