Linear Models in the Mathematics of Uncertainty

  • John N. Mordeson
  • Mark J. Wierman
  • Terry D. Clark
  • Alex Pham
  • Michael A. Redmond

Part of the Studies in Computational Intelligence book series (SCI, volume 463)

Table of contents

  1. Front Matter
    Pages 1-22
  2. Mathematics of Uncertainty

    1. Front Matter
      Pages 1-1
    2. John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, Michael A. Redmond
      Pages 3-40
    3. John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, Michael A. Redmond
      Pages 41-55
  3. The Problems

    1. Front Matter
      Pages 57-59
    2. John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, Michael A. Redmond
      Pages 61-72
    3. John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, Michael A. Redmond
      Pages 73-84
    4. John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, Michael A. Redmond
      Pages 85-90
  4. Applications

    1. Front Matter
      Pages 91-91
    2. John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, Michael A. Redmond
      Pages 93-117
    3. John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, Michael A. Redmond
      Pages 119-143
    4. John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, Michael A. Redmond
      Pages 145-153
    5. John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, Michael A. Redmond
      Pages 155-162
    6. John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, Michael A. Redmond
      Pages 163-175
    7. John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, Michael A. Redmond
      Pages 177-185
    8. John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, Michael A. Redmond
      Pages 187-200
  5. Analysis of Results

    1. Front Matter
      Pages 201-201
    2. John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, Michael A. Redmond
      Pages 203-207
    3. John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, Michael A. Redmond
      Pages 209-219
    4. John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, Michael A. Redmond
      Pages 221-237

About this book

Introduction

The purpose of this book is to present new mathematical techniques for modeling global issues. These mathematical techniques are used to determine linear equations between a dependent variable and one or more independent variables in cases where standard techniques such as linear regression are not suitable.

In this book, we examine cases where the number of data points is
small (effects of nuclear warfare), where the experiment is not repeatable (the breakup of the former Soviet Union), and where the data is derived from expert opinion (how conservative is a political party). In all these cases the data  is difficult to measure and an assumption of randomness and/or statistical validity is questionable. 

We apply our methods to real world issues in international relations such as  nuclear deterrence, smart power, and cooperative threat reduction. We next apply our methods to issues in comparative politics such as successful democratization, quality of life, economic freedom, political stability, and failed states. Finally, issues involving deaf and hard of hearing children are explored.
 

Keywords

Analytic Hierarchy Process Data Fusion Evidence Theory Fuzzy Sets Intuitionistic Fuzzy Sets Mathematics of Uncertainty

Authors and affiliations

  • John N. Mordeson
    • 1
  • Mark J. Wierman
    • 2
  • Terry D. Clark
    • 3
  • Alex Pham
    • 4
  • Michael A. Redmond
    • 5
  1. 1., Department of MathematicsCreighton UniversityOmahaUSA
  2. 2., Department of Computer ScienceCreighton UniversityOmahaUSA
  3. 3., Department of Political ScienceCreighton UniversityOmahaUSA
  4. 4., Department of MathematicsCreighton UniversityOmahaUSA
  5. 5., Department of MathematicsCreighton UniversityOmahaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-35224-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-35223-2
  • Online ISBN 978-3-642-35224-9
  • Series Print ISSN 1860-949X
  • Series Online ISSN 1860-9503
  • About this book