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Interval Arithmetic: WSM, CI or RDM?

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Explainable AI and Other Applications of Fuzzy Techniques (NAFIPS 2021)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 258))

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Abstract

The authors of relative distance measure (RDM) arithmetic assure that constraint interval (CI) arithmetic is not a theory that gives good results in the study of interval arithmetic and consequently fuzzy theory because for the same interval linear equations constraint interval arithmetic gives us different solutions. In this study the two approaches (CI, RDM) are considered and we show that the definitions in interval and fuzzy linear equations are equivalents.

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Author information

Authors and Affiliations

  1. Universidade Federal de Goiás, IME, Goiânia, GO, Brazil

    Marina T. Mizukoshi

  2. University of Colorado, Larimer Street, Denver, USA

    Weldon A. Lodwick

Authors
  1. Marina T. Mizukoshi
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  2. Weldon A. Lodwick
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Corresponding author

Correspondence to Marina T. Mizukoshi .

Editor information

Editors and Affiliations

  1. Purdue University, West Lafayette, IN, USA

    Julia Rayz

  2. Purdue University, West Lafayette, IN, USA

    Victor Raskin

  3. University of Alberta, Edmonton, AB, Canada

    Scott Dick

  4. University of Texas at El Paso, El Paso, TX, USA

    Vladik Kreinovich

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Mizukoshi, M.T., Lodwick, W.A. (2022). Interval Arithmetic: WSM, CI or RDM?. In: Rayz, J., Raskin, V., Dick, S., Kreinovich, V. (eds) Explainable AI and Other Applications of Fuzzy Techniques. NAFIPS 2021. Lecture Notes in Networks and Systems, vol 258. Springer, Cham. https://doi.org/10.1007/978-3-030-82099-2_26

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