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Discrete Kernel Aggregation Functions

  • Conference paper
Eurofuse 2011

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 107))

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Abstract

The study of discrete aggregation functions (those defined on a finite chain) with some kind of smoothness has been extensively developed in last years. Smooth t-norms and t-conorms, nullnorms and some kinds of uninorms, copulas and quasi-copulas have been characterized in this context. In this paper discrete aggregation functions with the kernel property (which implies the smoothness property) are investigated. Some properties and characterizations, as well as some construction methods for this kind of discrete aggregation functions are studied. It is also investigated when the marginal functions of a discrete kernel aggregation function fully determine it.

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Author information

Authors and Affiliations

  1. Dept. of Mathematics and Computer Science, University of the Balearic Islands, 07122, Palma de Mallorca, Spain

    M. Mas, M. Monserrat & J. Torrens

Authors
  1. M. Mas
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  2. M. Monserrat
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  3. J. Torrens
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Editor information

Editors and Affiliations

  1. CITAB-UTAD University, Quinta dos Prados, 5000-911, Vila Real, Portugal

    Pedro Melo-Pinto , Pedro Couto  & Carlos Serôdio ,  & 

  2. Óbuda University, Bécsi út 96/B, H-1034, Budapest, Hungary

    János Fodor

  3. KERMIT, Research Unit Knowledge-based Systems, Universiteit Gent, Coupure links 653, 9000, Gent, Belgium

    Bernard De Baets

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Mas, M., Monserrat, M., Torrens, J. (2011). Discrete Kernel Aggregation Functions. In: Melo-Pinto, P., Couto, P., Serôdio, C., Fodor, J., De Baets, B. (eds) Eurofuse 2011. Advances in Intelligent and Soft Computing, vol 107. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24001-0_14

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  • DOI: https://doi.org/10.1007/978-3-642-24001-0_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24000-3

  • Online ISBN: 978-3-642-24001-0

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