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International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems

IPMU 2018: Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations pp 115–126Cite as

Axiomatic of Inverse Lattice-Valued F-transform

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 854))

Abstract

Axioms of two versions of inverse fuzzy transformation systems are introduced, and it is proved that a transformation function satisfies these axioms if and only if it is an upper or lower inverse lattice-valued F-transform with respect to a fuzzy partition. Categories of inverse transformation systems are introduced, and it is proved that these categories are isomorphic to the category of spaces with fuzzy partitions.

This research was partially supported by the project 18-06915S provided by the Grant Agency of the Czech Republic.

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Author information

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

    Jiří Močkoř

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  1. Jiří Močkoř
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Correspondence to Jiří Močkoř .

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. Universidad de Granada, Granada, Spain

    David A. Pelta

  5. Universidad de Málaga, Málaga, Málaga, Spain

    Inma P. Cabrera

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

    Bernadette Bouchon-Meunier

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

    Ronald R. Yager

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Močkoř, J. (2018). Axiomatic of Inverse Lattice-Valued F-transform. In: Medina, J., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations. IPMU 2018. Communications in Computer and Information Science, vol 854. Springer, Cham. https://doi.org/10.1007/978-3-319-91476-3_10

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  • DOI: https://doi.org/10.1007/978-3-319-91476-3_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-91475-6

  • Online ISBN: 978-3-319-91476-3

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