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Fuzzy and Rough Techniques in Medical Diagnosis and Medication

  • Elisabeth Rakus-Andersson

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 212)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Elisabeth Rakus-Andersson
    Pages 1-2
  3. Elisabeth Rakus-Andersson
    Pages 3-30
  4. Elisabeth Rakus-Andersson
    Pages 31-61
  5. Elisabeth Rakus-Andersson
    Pages 63-91
  6. Elisabeth Rakus-Andersson
    Pages 93-126
  7. Elisabeth Rakus-Andersson
    Pages 127-154
  8. Elisabeth Rakus-Andersson
    Pages 155-181
  9. Back Matter
    Pages 183-193

About this book

Introduction

This volume provides readers with selected fuzzy and rough tools used to medical tasks, especially diagnosing and medication. To build a link between theoretical, mathematical excerpts and practical medical applications, the contents is formed as a sequence of occurrences in which a patient appears to be diagnosed and cured. The fuzzy and rough elements are inserted in the book in the order required by the presentation of medical substance to maintain the logical unity of the book’s essence.

In conformity with this pattern the essay presents in turn some necessary elements of fuzzy set theory, the classical fuzzy diagnostic model with extensions, the fuzzy diagnostic model with clinical examinations extended throughout time based on distance theory, methods of drug effectiveness measurements and algorithms selecting the optimal medicine. As the complement, the solution of an approximation problem is suggested to find a curve that surrounds two-dimensional clock-like point sets with the little approximation error.

A lot of appealing examples are added to facilitate comprehension of theoretical principles for a reader, so that even a beginner in fuzzy set theory can follow calculation steps without implementing computer programs. It should be emphasized that all models are also applicable to other fields, especially to technical domains after necessary adaptations. This confirms the existence of the large spectrum of applicable fuzzy and rough methods not only in medicine but also in natural sciences.

Keywords

algorithm algorithms fuzzy fuzzy set fuzzy techniques medical diagnosis medication model rough techniques

Authors and affiliations

  • Elisabeth Rakus-Andersson
    • 1
  1. 1.Department of Mathematics and ScienceDocent in Mathematics Blekinge Institute of TechnologyKarlskronaSweden

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-49708-0
  • Copyright Information Springer 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-49707-3
  • Online ISBN 978-3-540-49708-0
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site