Abstract
Using hypergraphs of survival functions, we propose a rather general method for construction of discrete fuzzy integrals. Our method is based on vertical/horizontal decompositions of hypergraphs and on rectangle mappings suitably evaluating rectangles of the considered decompositions. By means of appropriate binary aggregation functions we define two types of rectangle mappings and three types of discrete fuzzy integral constructions. All introduced methods coincide in the case of the product aggregation function, and then the related integral is the Choquet integral. Several examples are given.
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Acknowledgements
Both authors kindly acknowledge the support of the project APVV-18-0052, A. Kolesárová was also supported by the grant VEGA 1/0267/21 and R. Mesiar by the grant VEGA 1/0006/19.
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Kolesárová, A., Mesiar, R. (2023). Discrete Universal Fuzzy Integrals. In: Cornejo, M.E., Harmati, I.Á., Kóczy, L.T., Medina-Moreno, J. (eds) Computational Intelligence and Mathematics for Tackling Complex Problems 4. Studies in Computational Intelligence, vol 1040. Springer, Cham. https://doi.org/10.1007/978-3-031-07707-4_16
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