2017
DOI: 10.13164/ma.2017.06
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Classification trees in a box extent lattice

Abstract: Abstract. In this paper we show that, during an elementary extension of a context, each of the classification trees of the newly created box extent lattice can be obtained by modifying the classification trees of the box extent lattice of the original, smaller context. We also devise an algorithm which, starting from a classification tree of the box extent lattice of the smaller context (H, M, I ∩ H × M ), gives a classification tree of the extended context (G, M, I) which contains the new elements inserted. T… Show more

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“…The notion of the box extents of a context and the box elements of a concept lattice are related to the application of Formal Concept Analysis [1] in data classification by defining partitions of a universe putting its elements with similar attributes into the same class, see [4,6] and [2]. This task transparently appears in some clustering problems originating in database analysis, as well as in the engineering discipline Group Technology, see, e.g., [9] or [8]. This discipline exploits the similarities between technological objects and divides them into (relatively) homogeneous groups in order to optimize the manufacturing processes.…”
Section: Introductionmentioning
confidence: 99%
“…The notion of the box extents of a context and the box elements of a concept lattice are related to the application of Formal Concept Analysis [1] in data classification by defining partitions of a universe putting its elements with similar attributes into the same class, see [4,6] and [2]. This task transparently appears in some clustering problems originating in database analysis, as well as in the engineering discipline Group Technology, see, e.g., [9] or [8]. This discipline exploits the similarities between technological objects and divides them into (relatively) homogeneous groups in order to optimize the manufacturing processes.…”
Section: Introductionmentioning
confidence: 99%