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On the Calculation of Formal Concept Stability

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  • Hui-lai Zhi

Abstract

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.

Suggested Citation

  • Hui-lai Zhi, 2014. "On the Calculation of Formal Concept Stability," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, July.
    • Handle: RePEc:hin:jnljam:917639
    DOI: 10.1155/2014/917639
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