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On the Use of Subproduct in Fuzzy Relational Compositions Based on Grouping Features

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Information Processing and Management of Uncertainty in Knowledge-Based Systems. Applications (IPMU 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 855))

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Abstract

Fuzzy relational compositions have been extended and studied from distinct perspectives, and their use on the classification problem has been already demonstrated too. One of the recent approaches foreshadowed the positive influence of the so-called grouping features. When this improvement is being applied, the universe of features is partitioned into a number of groups of features and then the relevant composition is applied. The use of the concept was demonstrated on the real classification of Odonata (dragonflies). This paper shows that the Bandler-Kohout subproduct may appropriately serve as the chosen compositions in order to obtain an effective tool. The concepts of excluding features and generalized quantifiers will be employed in the constructed method as well. Some interesting properties will be introduced and a real example of the influence of the new concept will be provided.

This research was partially supported by the NPU II project LQ1602 “IT4Innovations excellence in science” provided by the MŠMT.

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Notes

  1. 1.

    By the type we mean, e.g., a color or a morphological type and the features are particular colors (green, black, blue etc.) or particular morphological types (Anisoptera, Zygoptera), see [21].

  2. 2.

    These systems are formally based mainly on compositions and fuzzy quantifiers.

  3. 3.

    Here, we abstract from the more complicated cases with more illnesses at the same time as usually there is always “the one” we seek for.

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Authors and Affiliations

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

    Nhung Cao, Martin Štěpnička & Michal Burda

  2. Department of Biology and Ecology, Faculty of Sciences, University of Ostrava, Chittussiho 10, 710 00, Slezská Ostrava, Ostrava, Czech Republic

    Aleš Dolný

Authors
  1. Nhung Cao
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  2. Martin Štěpnička
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  3. Michal Burda
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  4. Aleš Dolný
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Corresponding authors

Correspondence to Nhung Cao or Martin Štěpnička .

Editor information

Editors and Affiliations

  1. Universidad de Cádiz, Cádiz, Cadiz, Spain

    Jesús Medina

  2. Universidad de Málaga, Málaga, Málaga, Spain

    Manuel Ojeda-Aciego

  3. Universidad de Granada, Granada, Spain

    José Luis Verdegay

  4. Institute for Research and Applications, University of Ostrava, Ostrava, Czech Republic

    Irina Perfilieva

  5. LIP6, Université Pierre et Marie Curie, CNRS, Paris, France

    Bernadette Bouchon-Meunier

  6. Iona College, New Rochelle, New York, USA

    Ronald R. Yager

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Cao, N., Štěpnička, M., Burda, M., Dolný, A. (2018). On the Use of Subproduct in Fuzzy Relational Compositions Based on Grouping Features. In: Medina, J., Ojeda-Aciego, M., Verdegay, J., Perfilieva, I., Bouchon-Meunier, B., Yager, R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. Applications. IPMU 2018. Communications in Computer and Information Science, vol 855. Springer, Cham. https://doi.org/10.1007/978-3-319-91479-4_15

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  • DOI: https://doi.org/10.1007/978-3-319-91479-4_15

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