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On Fuzzy Generalizations of Concept Lattices

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Interactions Between Computational Intelligence and Mathematics

Part of the book series: Studies in Computational Intelligence ((SCI,volume 758))

Abstract

We provide an overview of different generalizations of formal concept analysis based on Fuzzy logic. Firstly, we recall a common platform for early fuzzy approaches and then, we deal with the data heterogeneity and its various extensions. A second-order formal context makes a bridge between the early fuzzy extensions and the heterogeneous frameworks. A second-order formal context is based on the bonds in L-fuzzy generalization. We present the connections between the related approaches.

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Acknowledgements

We thank the anonymous reviewers for their careful reading of our manuscript and their many fruitful comments and suggestions. This work was partially supported by the Scientific Grant Agency of the Ministry of Education of Slovak Republic and the Slovak Academy of Sciences under the contract VEGA 1/0073/15 and by the Slovak Research and Development Agency under the contract No. APVV–15–0091. This work was partially supported by the Agency of the Ministry of Education, Science, Research and Sport of the Slovak Republic for the Structural Funds of EU under the project Center of knowledge and information systems in Košice, CeZIS, ITMS: 26220220158.

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  1. Institute of Computer Science, Faculty of Science, Pavol Jozef Šafárik University in Košice, Jesenná 5, 040 01, Košice, Slovakia

    Lubomir Antoni, Stanislav Krajči & Ondrej Krídlo

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  2. Stanislav Krajči
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  1. Faculty of Engineering Sciences, Széchenyi István University, Gyõr, Hungary

    László T. Kóczy

  2. Departamento de Matemáticas, Facultad de Ciencias, Universidad de Cádiz, Puerto Real, Cádiz, Spain

    Jesús Medina

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Antoni, L., Krajči, S., Krídlo, O. (2018). On Fuzzy Generalizations of Concept Lattices. In: Kóczy, L., Medina, J. (eds) Interactions Between Computational Intelligence and Mathematics. Studies in Computational Intelligence, vol 758. Springer, Cham. https://doi.org/10.1007/978-3-319-74681-4_6

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