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A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 347))

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Abstract

This chapter presents the concept of joint possibility distribution from the point of view of fuzzy number membership. The concept of completely correlated fuzzy numbers is presented. Next, an interactive fuzzy number subtraction operator is discussed. Finally, two bio-mathematical models are studied using these concepts. The first models the risk of getting dengue fever and second is an epidemiological SI-model with completely correlated initial conditions.

“If you obey all the rules you miss all the fun”.

(Katharine Hepburn)

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Notes

  1. 1.

    Dengue is a mosquito borne disease that causes fever and in some cases death.

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Acknowledgments

The authors would like to acknowledge and thank the partial support received from CNPq.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, Universidade Estadual de Campinas, São Paulo, Brazil

    Laécio Carvalho de Barros

  2. Centro de Matemática e Computação, Universidade Federal do ABC, Santo André, São Paulo, Brazil

    Rodney Carlos Bassanezi

  3. Department of Mathematical and Statistical Sciences, University of Colorado Denver, Denver, Colorado, USA

    Weldon Alexander Lodwick

Authors
  1. Laécio Carvalho de Barros
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  2. Rodney Carlos Bassanezi
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  3. Weldon Alexander Lodwick
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Corresponding author

Correspondence to Laécio Carvalho de Barros .

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de Barros, L.C., Bassanezi, R.C., Lodwick, W.A. (2017). End Notes. In: A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics. Studies in Fuzziness and Soft Computing, vol 347. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53324-6_11

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  • DOI: https://doi.org/10.1007/978-3-662-53324-6_11

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  • Print ISBN: 978-3-662-53322-2

  • Online ISBN: 978-3-662-53324-6

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