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International Conference on Multimedia and Network Information System

MISSI 2018: Multimedia and Network Information Systems pp 151–160Cite as

Isotone Galois Connections and Generalized One-Sided Concept Lattices

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 833))

Abstract

We provide an approach to one-sided (crisp-fuzzy) concept lattices based on isotone Galois connections. Isotone Galois connections and concept lattices provide an alternative to the classical, antitone Galois connections based concept lattices, which are fundamental structures in formal concept analysis of object-attribute models with many-valued attributes. Our approach is suitable for analysis of data tables with different structures for truth values of particular attributes. A possible applications of this approach for approximation of object subsets is also presented.

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Acknowledgments

The first author was supported the Slovak VEGA grant no. 1/0493/16 and Slovak APVV grant no. APVV-16-0213. The second author was supported by the project of Grant Agency of the Czech Republic (GAČR) no. 18-06915S and by the Slovak Research and Development Agency under the contract no. APVV-16-0073. The third author was supported by the Slovak Research and Development Agency under the contract no. APVV-14-0892.

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Authors and Affiliations

  1. Department of Cybernetics and Artificial Intelligence, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 04200, Košice, Slovakia

    Peter Butka

  2. Department of Algebra and Geometry, Faculty of Science, Palacký University Olomouc, 17. listopadu 12, 771 46, Olomouc, Czech Republic

    Jozef Pócs

  3. Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, 040 01, Košice, Slovakia

    Jozef Pócs

  4. Institute of Control and Informatization of Production Processes, BERG Faculty, Technical University of Košice, Boženy Němcovej 3, 043 84, Košice, Slovakia

    Jana Pócsová

Authors
  1. Peter Butka
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  2. Jozef Pócs
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  3. Jana Pócsová
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Corresponding author

Correspondence to Peter Butka .

Editor information

Editors and Affiliations

  1. Faculty of Computer Science and Management, Wrocław University of Science and Technology, Wrocław, Poland

    Kazimierz Choroś

  2. Faculty of Computer Science and Management, Wrocław University of Science and Technology, Wrocław, Poland

    Marek Kopel

  3. Faculty of Computer Science and Management, Wrocław University of Science and Technology, Wrocław, Poland

    Elżbieta Kukla

  4. Faculty of Computer Science and Management, Wrocław University of Science and Technology, Wrocław, Poland

    Andrzej Siemiński

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Butka, P., Pócs, J., Pócsová, J. (2019). Isotone Galois Connections and Generalized One-Sided Concept Lattices. In: Choroś, K., Kopel, M., Kukla, E., Siemiński, A. (eds) Multimedia and Network Information Systems. MISSI 2018. Advances in Intelligent Systems and Computing, vol 833. Springer, Cham. https://doi.org/10.1007/978-3-319-98678-4_17

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