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A Method for Comparing Intervals with Interval Bounds

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Parallel Processing and Applied Mathematics (PPAM 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7204))

Abstract

There are different methods for interval comparison used in modeling, optimization and decision making in interval setting. These methods make it possible to compare intervals with real valued bounds. Nevertheless, in practice, for example in the rule-base evidential reasoning in interval setting, the problem of comparing intervals with interval bounds arises. In this report, a method for comparison of intervals with interval bounds is proposed and illustrated using numerical examples. This method is based on the mathematical tools of the Dempster-Shafer theory of evidence.

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References

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Author information

Authors and Affiliations

  1. Institute of Computer & Information Sciences, Czestochowa University of Technology, Dabrowskiego 73, 42-200, Czestochowa, Poland

    Pavel Sevastjanov, Pavel Bartosiewicz & Kamil Tkacz

Authors
  1. Pavel Sevastjanov
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  2. Pavel Bartosiewicz
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  3. Kamil Tkacz
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Editor information

Editors and Affiliations

  1. Institute of Computer and Information Science, Czestochowa University of Technology, Dabrowskiego 69, 42-201, Czestochowa, Poland

    Roman Wyrzykowski  & Konrad Karczewski  & 

  2. Electrical Engineering and Computer Science Department, University of Tennessee, 1122 Volunteer Blvd, 37996-3450, Knoxville, TN, USA

    Jack Dongarra

  3. Department of Informatics and Mathematical Modeling, Technical University of Denmark, Richard Petersens Plads, Building 321, 2800, Kongens Lyngby, Denmark

    Jerzy Waśniewski

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© 2012 Springer-Verlag Berlin Heidelberg

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Sevastjanov, P., Bartosiewicz, P., Tkacz, K. (2012). A Method for Comparing Intervals with Interval Bounds. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2011. Lecture Notes in Computer Science, vol 7204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31500-8_51

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  • DOI: https://doi.org/10.1007/978-3-642-31500-8_51

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31499-5

  • Online ISBN: 978-3-642-31500-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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