SpringerBriefs in Mathematics

Biological Models via Interval Type-2 Fuzzy Sets

Authors: Jafelice, Rosana Motta, Amarillo Bertone, Ana Maria

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  • Offers an essential introduction to interval type-2 fuzzy sets applied to biological modeling
  • Includes applications regarding selected cases of HIV and COVID-19 epidemics, populations models, as well as prostate cancer and pharmacological models
  • Includes suggested projects for development of future works
  • Can also be used as a supplementary text in specialized graduate courses
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eBook $44.99
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  • ISBN 978-3-030-64530-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for Mexico
  • ISBN 978-3-030-64529-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

This book offers a gentle introduction to type-2 fuzzy sets and, in particular, interval type-2 fuzzy sets and their application in biological modeling. Interval type-2 fuzzy modeling is a comparatively recent direction of research in fuzzy modeling. As the modeling of biological problems is inherently uncertain, the use of fuzzy sets in this field is a natural choice.
The coverage begins with a succinct review of type-1 fuzzy basic theory, before providing a comprehensive and didactic explanation of type-2 fuzzy set components. In turn, Fuzzy Rule-Based Systems, or FRBS, are shown for both types, interval type-2 and type-1 fuzzy sets.
Applications include the pharmacological models, prediction of prostate cancer stages, a model for HIV population transfer (asymptomatic to symptomatic), an epidemiological disease caused by HIV, some models in population growth, included the Malthus Model, and an epidemic  model refers to COVID-19. 
The book is ideally suited to graduate students in mathematics and related fields, professionals, researchers, or the public interested in interval type-2 fuzzy modeling. Largely self-contained, it can also be used as a supplementary text in specialized graduate courses.

About the authors

Rosana Motta Jafelice is a Full Professor at the Federal University of Uberlândia, Brazil. She got her PhD in Electrical Engineering at the State University of Campinas, Brazil, and does research on fuzzy sets, epidemics, mathematical modeling, HIV, and cellular automata.
Ana Maria Amarillo Bertone is an Associated Professor at the Federal University of Uberlândia, Brazil. She holds a PhD in Mathematics from the University of Brasilia, Brazil. Her research interests focus on fuzzy set theory and their applications. 

Table of contents (4 chapters)

Table of contents (4 chapters)
  • Introduction

    Pages 1-8

    Jafelice, Rosana Sueli da Motta (et al.)

  • A Tour of Type-1 and Interval Type-2 Fuzzy Sets Theory

    Pages 9-63

    Jafelice, Rosana Sueli da Motta (et al.)

  • Interval Type-2 Fuzzy Rule-Based System Applications

    Pages 65-128

    Jafelice, Rosana Sueli da Motta (et al.)

  • Interval Type-2 Fuzzy Sets in the Future: Scientific Projects for Development

    Pages 129-134

    Jafelice, Rosana Sueli da Motta (et al.)

Buy this book

eBook $44.99
price for Mexico
  • ISBN 978-3-030-64530-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for Mexico
  • ISBN 978-3-030-64529-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Biological Models via Interval Type-2 Fuzzy Sets
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-64530-4
DOI
10.1007/978-3-030-64530-4
Softcover ISBN
978-3-030-64529-8
Series ISSN
2191-8198
Edition Number
1
Number of Pages
XVIII, 136
Number of Illustrations
3 b/w illustrations, 87 illustrations in colour
Topics