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the multicriteria function over the whole Skyline points. Thus, if k is much smaller than the cardinality
of the Skyline, these solutions may be very inefficient because a large number of non-necessary probes
may be evaluated.
In this chapter, we showed the problem of identifying the Top-k that best meet multidimensional
criteria and adapt the TKSI, an efficient solution for the Top-k Skyline that overcomes existing solutions
drawbacks. The TKSI is an index-based algorithm that is able to compute only the subset of the Skyline
that will be required to produce the top-k objects; thus, the TKSI is able to minimize the number of
non-necessary probes. TKSI was empirically compared to extensions of the state-of-the-art algorithms:
BUS. BUS relies on the computation of the whole set of Skyline to identify the Top-k Skyline while
TKSI builds the Skyline until it has computed the k objects. Initial experimental results show that TKSI
computes the Top-k Skyline performing less number of probes, and have shown that our approach is
able to identify good quality objects and outperform state-of-the-art solutions.
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