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Fuzzy Relations between Two Universes: Soft Assessments of R-neighborhoods

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Advances in Computational Intelligence (IPMU 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 299))

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Abstract

A fuzzy relation R between two finite universes is considered. A uniform theoretical characterization of lower and upper assessments of subsets and partitions of R by pairs of fuzzy sets, pairs of real numbers and pairs of fuzzy relations is proposed. The notions of LU-fuzzy sets, LU-coefficients and LU-fuzzy relations are introduced and their properties are discussed. Some assessments based on aggregation functions are presented.

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References

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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. Faculty of Economics, University of Catania, Corso Italia, 55, 95129, Catania, Italy

    Salvatore Greco  & Benedetto Matarazzo  & 

  2. CNRS UMR 7606, DAPA, LIP6 8, Université Pierre et Marie Curie - Paris6, rue du Capitaine Scott, F-75015, Paris, France

    Bernadette Bouchon-Meunier

  3. Dip. Matematica e Informatica, Università di Perugia, 06123, Perugia, Italy

    Giulianella Coletti

  4. Department of Computer and Management Science, University of Trento, Via Inama 5, 38122, Trento, Italy

    Mario Fedrizzi

  5. Machine Intelligence Institute — IONA College, 10801, New Rochelle, NY, USA

    Ronald R. Yager

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© 2012 Springer-Verlag Berlin Heidelberg

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Bodjanova, S., Kalina, M. (2012). Fuzzy Relations between Two Universes: Soft Assessments of R-neighborhoods. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances in Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31718-7_31

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  • DOI: https://doi.org/10.1007/978-3-642-31718-7_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31717-0

  • Online ISBN: 978-3-642-31718-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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