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Electronics
Article . 2023 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Handling the Complexity of Computing Maximal Consistent Blocks

Authors: Teresa Mroczek;

Handling the Complexity of Computing Maximal Consistent Blocks

Abstract

The maximal consistent blocks technique, adopted from discrete mathematics, describes the maximal collection of objects, in which all objects are indiscernible in terms of available information. In this paper, we estimate the total possible number of maximal consistent blocks and prove that the number of such blocks may grow exponentially with respect to the number of attributes for incomplete data with “do not care” conditions. Results indicate that the time complexity of some known algorithms for computing maximal consistent blocks has been underestimated so far. Taking into account the complexity, for the practical usage of such blocks, we propose a performance improvement involving the parallelization of the maximal consistent blocks construction method.

Keywords

time complexity, incomplete data mining, maximal consistent blocks, parallel computing, rough set theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
gold