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Fuzzy Mathematics in Economics and Engineering

  • Book
  • © 2002

Overview

Authors:
  1. James J. Buckley

    1. Mathematics Department, University of Alabama at Birmingham, Birmingham, USA

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  2. Esfandiar Eslami

    1. Department of Mathematics, Shahid Bahonar University, Kerman, Iran

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    You can also search for this author in PubMed   Google Scholar

  3. Thomas Feuring

    1. Electrical Engineering and Computer Science, University of Siegen, Siegen, Germany

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  • Introduction into fuzzy sets and fuzzy logic for economists and engineers
  • Only elementary mathematical background required
  • Extensive survey with suggestions for future research
  • Includes supplementary material: sn.pub/extras

Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 91)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Introduction

    • James J. Buckley, Esfandiar Eslami, Thomas Feuring
    Pages 1-3

  3. Fuzzy Sets

    • James J. Buckley, Esfandiar Eslami, Thomas Feuring
    Pages 5-17

  4. Solving Fuzzy Equations

    • James J. Buckley, Esfandiar Eslami, Thomas Feuring
    Pages 19-46

  5. Fuzzy Mathematics in Finance

    • James J. Buckley, Esfandiar Eslami, Thomas Feuring
    Pages 47-67

  6. Fuzzy Non—Linear Regression

    • James J. Buckley, Esfandiar Eslami, Thomas Feuring
    Pages 69-79

  7. Operations Research

    • James J. Buckley, Esfandiar Eslami, Thomas Feuring
    Pages 81-144

  8. Fuzzy Differential Equations

    • James J. Buckley, Esfandiar Eslami, Thomas Feuring
    Pages 145-163

  9. Fuzzy Difference Equations

    • James J. Buckley, Esfandiar Eslami, Thomas Feuring
    Pages 165-184

  10. Fuzzy Partial Differential Equations

    • James J. Buckley, Esfandiar Eslami, Thomas Feuring
    Pages 185-197

  11. Fuzzy Eigenvalues

    • James J. Buckley, Esfandiar Eslami, Thomas Feuring
    Pages 199-228

  12. Fuzzy Integral Equations

    • James J. Buckley, Esfandiar Eslami, Thomas Feuring
    Pages 229-241

  13. Summary and Conclusions

    • James J. Buckley, Esfandiar Eslami, Thomas Feuring
    Pages 243-252

  14. Evolutionary Algorithms

    • James J. Buckley, Esfandiar Eslami, Thomas Feuring
    Pages 253-257

  15. Back Matter

    Pages 259-272
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Keywords

About this book

The book aims at surveying results in the application of fuzzy sets and fuzzy logic to economics and engineering. New results include fuzzy non-linear regression, fully fuzzified linear programming, fuzzy multi-period control, fuzzy network analysis, each using an evolutionary algorithm; fuzzy queuing decision analysis using possibility theory; fuzzy differential equations; fuzzy difference equations; fuzzy partial differential equations; fuzzy eigenvalues based on an evolutionary algorithm; fuzzy hierarchical analysis using an evolutionary algorithm; fuzzy integral equations. Other important topics covered are fuzzy input-output analysis; fuzzy mathematics of finance; fuzzy PERT (project evaluation and review technique). No previous knowledge of fuzzy sets is needed. The mathematical background is assumed to be elementary calculus.

Authors and Affiliations

  • Mathematics Department, University of Alabama at Birmingham, Birmingham, USA

    James J. Buckley

  • Department of Mathematics, Shahid Bahonar University, Kerman, Iran

    Esfandiar Eslami

  • Electrical Engineering and Computer Science, University of Siegen, Siegen, Germany

    Thomas Feuring

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