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Ordinal Sums of t-norms and t-conorms on Bounded Lattices

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New Trends in Aggregation Theory (AGOP 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 981))

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Abstract

This contribution extends a recently proposed novel approach to ordinal sum constructions of t-norms and t-conorms on bounded lattices that are determined by interior and closure operators. The extension lies in a possibility to consider also infinite sets of indices.

This research was partially supported from the ERDF/ESF project AI-Met4AI (No. CZ.02.1.01/0.0/0.0/17_049/0008414). The additional support was also provided by the Czech Science Foundation through the project of No. 18-06915S.

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Notes

  1. 1.

    Naturally, the role of t-norms and t-conorms is very important in applications of fuzzy logic, e.g., in multicriteria decision-making, fuzzy control, image processing, etc.

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Author information

Authors and Affiliations

  1. Institute for Research and Applications of Fuzzy Modeling, CE IT4Innovations, University of Ostrava, 30. dubna 22, 701 03, Ostrava, Czech Republic

    Antonín Dvořák & Michal Holčapek

Authors
  1. Antonín Dvořák
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  2. Michal Holčapek
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Corresponding author

Correspondence to Antonín Dvořák .

Editor information

Editors and Affiliations

  1. Faculty of Science, Palacký University, Olomouc, Czech Republic

    Radomír Halaš

  2. Systems Research Institute, Polish Academy of Science, Warsaw, Poland

    Marek Gagolewski

  3. Slovak University of Technology, Bratislava, Slovakia

    Radko Mesiar

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Dvořák, A., Holčapek, M. (2019). Ordinal Sums of t-norms and t-conorms on Bounded Lattices. 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_27

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