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Influence of dynamical changes on concept lattice and implication rules

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Abstract

Concept lattices are widely used as a knowledge structure in many real-life applications and the updating of a formal context is inevitable in most cases. How to effectively update the corresponding concept lattice as well as the embodied implication rules is still an open, interesting and important problem. The main objective of this paper is to give a solution to this problem. At first, we prove that in the updating process of the present concept lattice, whether to create a new concept and where to insert the new concept are solely determined by the lately created concepts or modified ones. And then, based on this finding, we propose an algorithm for the updating of concept lattice. Moreover, we carry out time complexity analysis and conduct experiments to show the effectiveness of our algorithm. Finally, we put forward some useful strategies for the updating of implication rules based on minimal generators.

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Acknowledgments

The authors would like to thank the reviewers for their valuable comments and helpful suggestions which lead to a significant improvement on the manuscript. This work was supported by the National Natural Science Foundation of China (Nos. 61502150, 61305057 and 61562050) and the Doctorial Foundation of Henan Polytechnic University (No. B2011-102).

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Authors and Affiliations

  1. School of Computer Science and Technology, Henan Polytechnic University, Jiaozuo, 454000, Henan, People’s Republic of China

    Huilai Zhi

  2. Faculty of Science, Kunming University of Science and Technology, Kunming, 650500, Yunnan, People’s Republic of China

    Jinhai Li

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  1. Huilai Zhi
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Correspondence to Jinhai Li.

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Zhi, H., Li, J. Influence of dynamical changes on concept lattice and implication rules. Int. J. Mach. Learn. & Cyber. 9, 795–805 (2018). https://doi.org/10.1007/s13042-016-0608-x

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