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A Study on Constrained Interval Arithmetic

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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

This paper discuss on Interval Arithmetic by Moore under two main principles: inclusion isotonicity and quick computations under algebraic cost. In 1999, to overcome Moore difficulties Lodwick introduced constrained interval arithmetic. This paper discuss on Lodwick’s theory under these principles.

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References

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Acknowledgments

The authors would like to thank UESB (Southwest Bahia State University) and UFRN (Federal University of Rio Grande do Norte) for their financial support. This research was partially supported by the Brazilian Research Council (CNPq) under the process 306876/2012-4.

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Authors and Affiliations

  1. Southwest Bahia State University, Vitória da Conquista, Brazil

    Flaulles Boone Bergamaschi

  2. Federal University of Rio Grande do Norte, Natal, Brazil

    Regivan Hugo Nunes Santiago

Authors
  1. Flaulles Boone Bergamaschi
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  2. Regivan Hugo Nunes Santiago
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Corresponding author

Correspondence to Flaulles Boone Bergamaschi .

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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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Bergamaschi, F.B., Santiago, R.H.N. (2022). A Study on Constrained Interval Arithmetic. 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_3

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