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Fuzzy Mathematics in Medicine

  • Book
  • Mar 2014
  • Latest edition

Overview

Authors:
  1. John N. Mordeson

    1. Fuzzy Mathematics & Computer Science, Creighton University Center for Research in, Omaha, USA

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  2. Davender S. Malik

    1. Computer Science, Creighton University Dept. Mathematics &, Omaha, USA

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    You can also search for this author in PubMed   Google Scholar

  3. Shih-Chuan Cheng
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  • Presentation of fuzzy mathematics used in medical research
  • Explanation of basic algorithms, partly in C++

Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 55)

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Keywords

  • Clinical Monitoring
  • Fuzzy-Logic
  • Fuzzy-Mathematik
  • Medical Density
  • Medizinische Diagnose
  • Neural Cell-Assemblies
  • Stroke Pathogenesis
  • automata
  • data analysis
  • diagnosis
  • fuzzy logic
  • fuzzy mathematics
  • mathematics
  • modeling

About this book

The purpose of this book is to present a wide variety of types of fuzzy mathematics used in medical research and in the modelling of diagnostic systems. Some techniques from fuzzy mathematics include fuzzy relation equations, group decision making, abstract algebra, clustering methods, belief functions, fuzzy measures, evidence theory, Sugero integrals, abduction, automata theory, genetic algebras, and hypergraphs. Applications to medicine include medical diagnosis, bone mineral density, stroke pathogenesis, clinical monitoring, and neuronal cell-assemblies.
The five basic algorithms for data analysis (clustering based on fuzzy equivalence relations, fuzzy c-means algorithm, solving a system of fuzzy relational equations, calculating fuzzy measures, and calculating the combined basic probabilistic measure) are explained in the appendix. Some of these algorithms are translated into the programming language C++.

Authors and Affiliations

  • Fuzzy Mathematics & Computer Science, Creighton University Center for Research in, Omaha, USA

    John N. Mordeson

  • Computer Science, Creighton University Dept. Mathematics &, Omaha, USA

    Davender S. Malik

Bibliographic Information

  • Book Title: Fuzzy Mathematics in Medicine

  • Authors: John N. Mordeson, Davender S. Malik, Shih-Chuan Cheng

  • Series Title: Studies in Fuzziness and Soft Computing

  • Publisher: Physica Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Physica-Verlag Heidelberg 2000

  • eBook ISBN: 978-3-7908-1842-0Due: 14 April 2014

  • Series ISSN: 1434-9922

  • Series E-ISSN: 1860-0808

  • Edition Number: 1

  • Number of Pages: XI, 256

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