Fuzzy Logic in Action: Applications in Epidemiology and Beyond

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Springer Science & Business Media, Feb 3, 2009 - Medical - 347 pages
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Fuzzy Logic in Action: Applications in Epidemiology and Beyond, co-authored by Eduardo Massad, Neli Ortega, Laécio Barros, and Cláudio Struchiner is a remarkable achievement. The book brings a major paradigm shift to medical sciences exploring the use of fuzzy sets in epidemiology and medical diagnosis arena. The volume addresses the most significant topics in the broad areas of epidemiology, mathematical modeling and uncertainty, embodying them within the framework of fuzzy set and dynamic systems theory.

Written by leading contributors to the area of epidemiology, medical informatics and mathematics, the book combines a very lucid and authoritative exposition of the fundamentals of fuzzy sets with an insightful use of the fundamentals in the area of epidemiology and diagnosis. The content is clearly illustrated by numerous illustrative examples and several real world applications. Based on their profound knowledge of epidemiology and mathematical modeling, and on their keen understanding of the role played by uncertainty and fuzzy sets, the authors provide insights into the connections between biological phenomena and dynamic systems as a mean to predict, diagnose, and prescribe actions. An example is the use of Bellman-Zadeh fuzzy decision making approach to develop a vaccination strategy to manage measles epidemics in São Paulo.

The book offers a comprehensive, systematic, fully updated and self- contained treatise of fuzzy sets in epidemiology and diagnosis. Its content covers material of vital interest to students, researchers and practitioners and is suitable both as a textbook and as a reference. The authors present new results of their own in most of the chapters. In doing so, they reflect the trend to view fuzzy sets, probability theory and statistics as an association of complementary and synergetic modeling methodologies.

 

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Contents

Introduction
1
Basic Concepts of Fuzzy Sets Theory
11
Modern Epidemiology
41
Probability Possibility and Fuzzy Events
58
Fuzzy Logic and Risk Estimators
79
Fuzzy Decision Making in Public Health Strategies
97
Fuzzy RuleBased Models in Epidemiology
111
Fuzzy RuleBased Dynamical Models
151
Classical Dynamical Systems with Fuzzy RuleBased Parameters
207
Fuzzy ReedFrost Model
225
Hybrid Models in Epidemiology
252
Fuzzy Logic in Medical Diagnosis
277
Final Reflexions
311
References
313
Index
334
Copyright

Fuzzy Dynamical Systems in Epidemic Modeling
180

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