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Usage of RDM Interval Arithmetic for Solving Cubic Interval Equation

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Advances in Fuzzy Logic and Technology 2017 (EUSFLAT 2017, IWIFSGN 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 642))

Abstract

The paper presents the usage of Relative Distance Measure (RDM) interval arithmetic with Cardano’s rule for solving the interval cubic equations. Based on the crisp Cardano’s rule the extension for interval variables was made. Also numerical examples for a real solution are given. The solutions obtained with RDM interval arithmetic satisfy the analysed cubic interval equations. The examples show that results with standard interval arithmetic are not full solutions and give values that do not satisfy solved equations.

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Author information

Authors and Affiliations

  1. Department of Mathematical Methods, Maritime University of Szczecin, Waly Chrobrego 1-2, 70-500, Szczecin, Poland

    Marek Landowski

Authors
  1. Marek Landowski
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Correspondence to Marek Landowski .

Editor information

Editors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Eulalia Szmidt

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Slawomir Zadrożny

  4. Department of Telecommunications and Information Processing, Bulgarian Academy of Sciences, Sofia, Bulgaria

    K. T. Atanassov

  5. WIT - Warsaw School of Information Technology, Warsaw, Poland

    Maciej Krawczak

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Landowski, M. (2018). Usage of RDM Interval Arithmetic for Solving Cubic Interval Equation. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 642. Springer, Cham. https://doi.org/10.1007/978-3-319-66824-6_34

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  • DOI: https://doi.org/10.1007/978-3-319-66824-6_34

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66823-9

  • Online ISBN: 978-3-319-66824-6

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