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  • © 2021

Biological Models via Interval Type-2 Fuzzy Sets

  • 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

Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xviii
  2. Introduction

    • Rosana Sueli da Motta Jafelice, Ana Maria Amarillo Bertone
    Pages 1-8
  3. A Tour of Type-1 and Interval Type-2 Fuzzy Sets Theory

    • Rosana Sueli da Motta Jafelice, Ana Maria Amarillo Bertone
    Pages 9-63
  4. Interval Type-2 Fuzzy Rule-Based System Applications

    • Rosana Sueli da Motta Jafelice, Ana Maria Amarillo Bertone
    Pages 65-128
  5. Interval Type-2 Fuzzy Sets in the Future: Scientific Projects for Development

    • Rosana Sueli da Motta Jafelice, Ana Maria Amarillo Bertone
    Pages 129-134
  6. Back Matter

    Pages 135-136

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.


Authors and Affiliations

  • Faculty of Mathematics, Federal University of Uberlândia, Uberlândia, Brazil

    Rosana Sueli da Motta Jafelice, Ana Maria Amarillo Bertone

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. 

Bibliographic Information

Buy it now

Buying options

eBook USD 29.99 USD 49.99
40% discount Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99 USD 64.99
38% discount Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access