2010
DOI: 10.14778/1920841.1920996
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Efficient skyline evaluation over partially ordered domains

Abstract: Although there has been a considerable body of work on skyline evaluation in multidimensional data with totally ordered attribute domains, there are only a few methods that consider attributes with partially ordered domains. Existing work maps each partially ordered domain to a total order and then adapts algorithms for totallyordered domains to solve the problem. Nevertheless these methods either use stronger notions of dominance, which generate false positives, or require expensive dominance checks. In this … Show more

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Cited by 18 publications
(10 citation statements)
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“…The winnow operator is also implicit in skyline queries, which supports only LOWEST and HIGHEST preferences based on the Preference Algebra described in Kießling (2002). Methods for calculating skylines over partially ordered data have also started to emerge as in Zhang et al (2010).…”
Section: Pareto Composition and Bmo-setmentioning
confidence: 99%
“…The winnow operator is also implicit in skyline queries, which supports only LOWEST and HIGHEST preferences based on the Preference Algebra described in Kießling (2002). Methods for calculating skylines over partially ordered data have also started to emerge as in Zhang et al (2010).…”
Section: Pareto Composition and Bmo-setmentioning
confidence: 99%
“…Both techniques use an Lp norm (Euclidean distance in particular) as the measure of diversity between skyline points. This choice may be problematic in the following cases: i) the dimensions correspond to attributes that are difficult to combine (e.g., price and quality), ii) the skyline is computed over a partially-ordered domain [37], and iii) the points' attributes are non-numerical values, e.g., when operating over a document collection where the attributes may be terms, q-grams or topics. Under such circumstances, a multidimensional index can not be used, rendering the techniques infeasible or even inapplicable.…”
Section: Related Workmentioning
confidence: 99%
“…The methods proposed in [2,7,5,8] are the most relevant to our work. Chan et al [2] presented three algorithms for evaluating skyline queries with partially ordered attributes.…”
Section: Related Workmentioning
confidence: 99%
“…In addition, TSS is able to handle dynamic skyline queries. Because existing methods for skyline with partially ordered domains either use stronger notions of dominance, which generate false positives, or require expensive dominance checks, Zhang et al [8] introduced two methods, which do not have these drawbacks. The first mechanism employs an appropriate mapping of a partial order to a total order, inspired by the lattice theorem and an off-theshelf skyline algorithm.…”
Section: Related Workmentioning
confidence: 99%