Models for Cooperative Games with Fuzzy Relations among the Agents

Fuzzy Communication, Proximity Relation and Fuzzy Permission

  • Andrés Jiménez-Losada

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 355)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Andrés Jiménez-Losada
    Pages 1-36
  3. Andrés Jiménez-Losada
    Pages 37-61
  4. Andrés Jiménez-Losada
    Pages 63-98
  5. Andrés Jiménez-Losada
    Pages 99-158
  6. Andrés Jiménez-Losada
    Pages 159-207
  7. Andrés Jiménez-Losada
    Pages 209-256
  8. Back Matter
    Pages 257-260

About this book


This book offers a comprehensive introduction to cooperative game theory and a practice-oriented reference guide to new models and tools for studying bilateral fuzzy relations among several agents or players. It introduces the reader to several fuzzy models, each of which is first analyzed in the context of classical games (crisp games) and subsequently in the context of fuzzy games. Special emphasis is given to the value of Shapley, which is presented for the first time in the context of fuzzy games.

Students and researchers will find here a self-contained reference guide to cooperative fuzzy games, characterized by a wealth of examples, descriptions of a wide range of possible situations, step-by-step explanations of the basic mathematical concepts involved, and easy-to-follow information on axioms and properties.


Fuzzy Cooperation Structures Fuzzy Coalitions Value for Games Shapley Value Games with Transferable Utility Fuzzy Unions Fuzzy Permission Structures Fuzzy Communication Structures Coalitional Models Aumann-Dreze Model Myerson Model Fuzzy Games Hierarchical Structures Hierarchical Fuzzy Permission Structures Local Fuzzy Permission Value Fuzzy Permission Values Fuzzy Coercive Value

Authors and affiliations

  • Andrés Jiménez-Losada
    • 1
  1. 1.Departamento de Matemática Aplicada IIUniversidad de SevillaSevilleSpain

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-56471-5
  • Online ISBN 978-3-319-56472-2
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site