abawajy-optimizationand-2011.pdf (250.83 kB)
Optimization and matrix constructions for classification of data
journal contribution
posted on 2011-01-01, 00:00 authored by Andrei Kelarev, J Yearwood, P Vamplew, Jemal AbawajyJemal Abawajy, Morshed ChowdhuryMorshed ChowdhuryMax-plus algebras and more general semirings have many useful applications and have been actively investigated. On the other hand, structural matrix rings are also well known and have been considered by many authors. The main theorem of this article completely describes all optimal ideals in the more general structural matrix semirings. Originally, our investigation of these ideals was motivated by applications in data mining for the design of centroid-based classification systems, as well as for the design of multiple classification systems combining several individual classifiers.
History
Journal
New Zealand journal of mathematicsVolume
41Pagination
65 - 73Publisher
University of Auckland, Department of MathematicsLocation
Auckland, New ZealandISSN
1179-4984eISSN
1171-6096Language
engPublication classification
C1 Refereed article in a scholarly journalCopyright notice
2011, University of Auckland, Department of MathematicsUsage metrics
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