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Gradual Evaluation of Granules of a Fuzzy Relation: R-related Sets

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Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Methods (IPMU 2010)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 80))

Abstract

A fuzzy relation R between elements from two finite universes is considered. Granules of R created by pairs of subsets from the two universes are evaluated. A rough extension of R based on a generalized rough set model is proposed. This extension allows us to introduce the notions of R-related sets, strongly R-related sets and R-compatible sets. R-related sets can be further used for evaluations of R-relationship between partitions of elements from two related universes.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX, 78363, USA

    Slavka Bodjanova

  2. Department of Mathematics, Slovak Technical University, Sk-813 68, Bratislava, Slovakia

    Martin Kalina

Authors
  1. Slavka Bodjanova
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  2. Martin Kalina
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Editor information

Editors and Affiliations

  1. Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, Marburg, Germany

    Eyke Hüllermeier

  2. Department of Knowledge Processing and Language Engineering, Otto-von-Guericke University of Magdeburg, Universitätsplatz 2, 39106, Magdeburg, Germany

    Rudolf Kruse

  3. Fakultät für Elektrotechnik und Informationstechnik, Technische Universität Dortmund, 44221, Dortmund, Germany

    Frank Hoffmann

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Bodjanova, S., Kalina, M. (2010). Gradual Evaluation of Granules of a Fuzzy Relation: R-related Sets. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Methods. IPMU 2010. Communications in Computer and Information Science, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14055-6_28

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  • DOI: https://doi.org/10.1007/978-3-642-14055-6_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14054-9

  • Online ISBN: 978-3-642-14055-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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