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Adjoint Pairs on Interval-Valued Fuzzy Sets

  • Conference paper
Information Processing and Management of Uncertainty in Knowledge-Based Systems. Applications (IPMU 2010)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 81))

Abstract

In this paper the authors present the definition of interval operator associated to two general increasing operators, on the set of subintervals of [0,1], and how its residuated implication must be defined, if the initial operator have adjoint implications. These results are necessary in several frameworks where mechanisms for reasoning under uncertainty are needed, such as decision and risk analysis, engineering design, and scheduling. We will show three framework where the interval values are used and, hence, where the results presented here can be useful.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Cádiz,  

    Jesús Medina

Authors
  1. Jesús Medina
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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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Medina, J. (2010). Adjoint Pairs on Interval-Valued Fuzzy Sets. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. Applications. IPMU 2010. Communications in Computer and Information Science, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14058-7_45

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  • DOI: https://doi.org/10.1007/978-3-642-14058-7_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14057-0

  • Online ISBN: 978-3-642-14058-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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