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Zhi, Hui-lai

On the calculation of formal concept stability. (English) Zbl 1442.68226

J. Appl. Math. 2014, Article ID 917639, 6 p. (2014).
Summary: The idea of stability has been used in many applications. However, computing stability is still a challenge and the best algorithms known so far have algorithmic complexity quadratic to the size of the lattice. To improve the effectiveness, a critical term is introduced in this paper, that is, minimal generator, which serves as the minimal set that makes a concept stable when deleting some objects from the extent. Moreover, by irreducible elements, minimal generator is derived. Finally, based on inclusion-exclusion principle and minimal generator, formulas for the calculation of concept stability are proposed.

Cited in 1 Document

MSC:

68T30 Knowledge representation
68T05 Learning and adaptive systems in artificial intelligence
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\textit{H.-l. Zhi}, J. Appl. Math. 2014, Article ID 917639, 6 p. (2014; Zbl 1442.68226)
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References:

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