Biological Models via Interval Type-2 Fuzzy Sets

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.

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

Autorentext

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.

Inhalt

• Introduction.- A Tour of Type-1 and Interval Type-2 Fuzzy Sets Theory.- Interval Type-2 Fuzzy Rule-Based System Applications.- Interval Type-2 Fuzzy Sets in the Future: Scientific Projects for Development.- Index.