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International Fuzzy Systems Association World Congress

IFSA/NAFIPS 2019 2019: Fuzzy Techniques: Theory and Applications pp 306–317Cite as

An Interpretation of the Fuzzy Measure Associated with Choquet Calculus for a HIV Transference Model

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1000))

Abstract

This paper presents two dynamics that describe the transference between the classes of symptomatic and asymptomatic of an HIV-seropositive population. These models can be formulated using Choquet calculus where the underlying fuzzy measure is intrisically connected with the phenomena, and that is the main focus of this article. In particular, the fuzzy measures associated with Choquet calculus are obtained from the transference rates in both cases: with or without antiretroviral treatment.

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Acknowledgements

The authors would like to thank Prof. Dr. Francisco Hideo Aoki (HC-Unicamp-Brazil). This work was partially supported by CAPES under grant no. 1696945, by CNPq under grant no. 306546/2017-5, and by Fapesp under grant no. 2016/26040-7.

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Authors and Affiliations

  1. Department of Applied Mathematics, State University of Campinas, Campinas, São Paulo, Brazil

    Beatriz Laiate, Estevão Esmi & Laécio C. Barros

  2. Federal University of Uberlândia, Uberlândia, Minas Gerais, Brazil

    Rosana M. Jafelice

Authors
  1. Beatriz Laiate
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  2. Rosana M. Jafelice
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  3. Estevão Esmi
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  4. Laécio C. Barros
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Corresponding author

Correspondence to Beatriz Laiate .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, USA

    Ralph Baker Kearfott

  2. Center for Computing Research (CIC), Instituto Politecnico Nacional, Ciudad de Mexico, Mexico

    Ildar Batyrshin

  3. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada

    Marek Reformat

  4. Department of Computer Science, University of Texas at El Paso, El Paso, TX, USA

    Martine Ceberio

  5. Department of Computer Science, University of Texas at El Paso , El Paso, TX, USA

    Vladik Kreinovich

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Laiate, B., Jafelice, R.M., Esmi, E., Barros, L.C. (2019). An Interpretation of the Fuzzy Measure Associated with Choquet Calculus for a HIV Transference Model. In: Kearfott, R., Batyrshin, I., Reformat, M., Ceberio, M., Kreinovich, V. (eds) Fuzzy Techniques: Theory and Applications. IFSA/NAFIPS 2019 2019. Advances in Intelligent Systems and Computing, vol 1000. Springer, Cham. https://doi.org/10.1007/978-3-030-21920-8_28

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