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International Summer School on Aggregation Operators

AGOP 2017: Aggregation Functions in Theory and in Practice pp 64–70Cite as

k-maxitivity of Order-Preserving Homomorphisms of Lattices

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 581))

Abstract

The concept of k-maxitivity for order-preserving homomorphisms between bounded lattices is introduced and discussed. As particular cases, k-maxitive capacities and aggregation functions are studied and exemplified.

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Acknowledgement

Both authors kindly acknowledge the support of the project of Science and Technology Assistance Agency under the contract No. APVV–14–0013. Moreover, the work of R. Mesiar on this paper was supported by the VEGA grant 1/0420/15.

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Authors and Affiliations

  1. Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 810 05, Bratislava, Slovakia

    Radko Mesiar

  2. Faculty of Chemical and Food Technology, Institute of Information Engineering, Automation and Mathematics, Slovak University of Technology, Radlinského 9, 812 37, Bratislava, Slovakia

    Anna Kolesárová

Authors
  1. Radko Mesiar
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  2. Anna Kolesárová
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Corresponding author

Correspondence to Radko Mesiar .

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Editors and Affiliations

  1. School of Informatics, University of Skövde, Skövde, Sweden

    Vicenç Torra

  2. Department of Mathematics and Descriptive Geometry, Slovak University of Technology, Bratislava, Slovakia

    Radko Mesiar

  3. KERMIT Research Unit Knowledge-based Systems, Ghent University, Ghent, Belgium

    Bernard De Baets

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Mesiar, R., Kolesárová, A. (2018). k-maxitivity of Order-Preserving Homomorphisms of Lattices. In: Torra, V., Mesiar, R., Baets, B. (eds) Aggregation Functions in Theory and in Practice. AGOP 2017. Advances in Intelligent Systems and Computing, vol 581. Springer, Cham. https://doi.org/10.1007/978-3-319-59306-7_7

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  • DOI: https://doi.org/10.1007/978-3-319-59306-7_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59305-0

  • Online ISBN: 978-3-319-59306-7

  • eBook Packages: EngineeringEngineering (R0)

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