Abstract
A certain connection between the theory of aggregation functions and the theory of concept lattices is discussed. We describe a generalization of residuated mappings, convenient for creating a monotone analogue of antitone concept lattices. Examples of such mappings are also presented.
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The authors are aware that this notion can be defined in other contexts under another name.
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Acknowledgments
The first author was supported by the Slovak Research and Development Agency under the contract 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 VEGA Grant 1/0365/19.
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Butka, P., Pócs, J., Pócsová, J. (2019). Note on Aggregation Functions and Concept Forming Operators. In: Halaš, R., Gagolewski, M., Mesiar, R. (eds) New Trends in Aggregation Theory. AGOP 2019. Advances in Intelligent Systems and Computing, vol 981. Springer, Cham. https://doi.org/10.1007/978-3-030-19494-9_26
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DOI: https://doi.org/10.1007/978-3-030-19494-9_26
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