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Decision Making and Optimization

Special Matrices and Their Applications in Economics and Management

  • Martin Gavalec
  • Jaroslav Ramík
  • Karel Zimmermann

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 677)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Special Matrices in Decision Making

    1. Front Matter
      Pages 1-1
    2. Martin Gavalec, Jaroslav Ramík, Karel Zimmermann
      Pages 3-28
    3. Martin Gavalec, Jaroslav Ramík, Karel Zimmermann
      Pages 29-90
    4. Martin Gavalec, Jaroslav Ramík, Karel Zimmermann
      Pages 91-115
  3. Special Matrices in Max-Min Algebra

    1. Front Matter
      Pages 117-117
    2. Martin Gavalec, Jaroslav Ramík, Karel Zimmermann
      Pages 119-161
    3. Martin Gavalec, Jaroslav Ramík, Karel Zimmermann
      Pages 163-181
    4. Martin Gavalec, Jaroslav Ramík, Karel Zimmermann
      Pages 183-221
  4. Back Matter
    Pages 223-225

About this book

Introduction

​The book is a benefit for graduate and postgraduate students in the areas of operations research, decision theory, optimization theory, linear algebra, interval analysis, and fuzzy sets. The book will also be useful for the researchers in the respective areas. The first part of the book deals with decision making problems and procedures that have been established to combine opinions about alternatives related to different points of view. Procedures based on pairwise comparisons are thoroughly investigated. In the second part we investigate optimization problems where objective functions and constraints are characterized by extremal operators such as maximum, minimum or various triangular norms (t-norms). Matrices in max-min algebra are useful in applications such as automata theory, design of switching circuits, logic of binary relations, medical diagnosis, Markov chains, social choice, models of organizations, information systems, political systems and clustering. The input data in real problems are usually not exact and can be characterized by interval values.

Keywords

Decision analysis Matrix analysis Max-min algebra Pairwise comparison t-norms

Authors and affiliations

  • Martin Gavalec
    • 1
  • Jaroslav Ramík
    • 2
  • Karel Zimmermann
    • 3
  1. 1.University of Hradec KraloveHradec KraloveCzech Republic
  2. 2.Silesian University in OpavaKarvinaCzech Republic
  3. 3.Charles University in PraguePragueCzech Republic

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-08323-0
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Business and Economics
  • Print ISBN 978-3-319-08322-3
  • Online ISBN 978-3-319-08323-0
  • Series Print ISSN 0075-8442
  • Series Online ISSN 2196-9957
  • Buy this book on publisher's site
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