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On Two Categories of Many-Level Fuzzy Morphological Spaces

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Computational Intelligence and Mathematics for Tackling Complex Problems 2

Part of the book series: Studies in Computational Intelligence ((SCI,volume 955))

Abstract

We introduce many-level versions of the basic concepts of mathematical morphology, i.e. erosion and dilation, thus allowing to consider them not as a result, but as a process. We introduce two alternative many-level kinds of fuzzy morphological spaces. Fuzzy morphological spaces and reasonably defined continuous transformations of such spaces lead us to two categories, the study of which is initiated in the paper.

The authors are thankful for the partial financial support from the project No Lzp-2018/2-0338. The first named author expresses his gratitude to Manuel Ojeda-Aciego for drawing his attention to the topic of Mathematical Morphology. Both authors are thankful to the two anonymous referees for reading the paper carefully and making constructive critical remarks.

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Authors and Affiliations

  1. Institute of Mathematics, CS University of Latvia, Riga, LV-1459, Latvia

    Alexander Šostak & Ingrida Uljane

  2. Department of Mathematics, University of Latvia, Riga, LV-1004, Latvia

    Alexander Šostak & Ingrida Uljane

Authors
  1. Alexander Šostak
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  2. Ingrida Uljane
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Corresponding author

Correspondence to Alexander Šostak .

Editor information

Editors and Affiliations

  1. Faculty of Engineering, Department of Mathematics, University of Cádiz, Cádiz, Spain

    María Eugenia Cornejo

  2. Faculty of Engineering Sciences, Széchenyi István University, Gyõr, Hungary

    László T. Kóczy

  3. Science Faculty, Department of Mathematics, University of Cádiz, Cádiz, Spain

    Jesús Medina-Moreno

  4. Escuela de Ingeniería Industrial, Universidad de Castilla La Mancha, Toledo, Spain

    Juan Moreno-García

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Šostak, A., Uljane, I. (2022). On Two Categories of Many-Level Fuzzy Morphological Spaces. In: Cornejo, M.E., Kóczy, L.T., Medina-Moreno, J., Moreno-García, J. (eds) Computational Intelligence and Mathematics for Tackling Complex Problems 2. Studies in Computational Intelligence, vol 955. Springer, Cham. https://doi.org/10.1007/978-3-030-88817-6_24

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