Open Access
2014 On the Calculation of Formal Concept Stability
Hui-lai Zhi
J. Appl. Math. 2014: 1-6 (2014). DOI: 10.1155/2014/917639


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.


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Hui-lai Zhi. "On the Calculation of Formal Concept Stability." J. Appl. Math. 2014 1 - 6, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131970
MathSciNet: MR3232936
Digital Object Identifier: 10.1155/2014/917639

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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