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

  • Beatriz LaiateEmail author
  • Rosana M. Jafelice
  • Estevão Esmi
  • Laécio C. Barros
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1000)


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.



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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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Beatriz Laiate
    • 1
    Email author
  • Rosana M. Jafelice
    • 2
  • Estevão Esmi
    • 1
  • Laécio C. Barros
    • 1
  1. 1.Department of Applied MathematicsState University of CampinasCampinasBrazil
  2. 2.Federal University of UberlândiaUberlândiaBrazil

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