Fuzzy Solution Concepts for Non-cooperative Games

Interval, Fuzzy and Intuitionistic Fuzzy Payoffs

  • Tina Verma
  • Amit Kumar

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 383)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Tina Verma, Amit Kumar
    Pages 1-36
  3. Tina Verma, Amit Kumar
    Pages 37-63
  4. Tina Verma, Amit Kumar
    Pages 65-99
  5. Tina Verma, Amit Kumar
    Pages 101-150
  6. Tina Verma, Amit Kumar
    Pages 151-163
  7. Tina Verma, Amit Kumar
    Pages 165-166

About this book


This book proposes novel methods for solving different types of non-cooperative games with interval/fuzzy/intuitionistic fuzzy payoffs. It starts by discussing several existing methods and shows that some mathematically incorrect assumptions have been considered in all these methods. It then proposes solutions to adapt those methods and validate the new proposed methods, such  as Gaurika method Ambika-I-IV, Mehar method and others,  by using them for solving existing numerical problems. The book offers a comprehensive guide on non-cooperative games with fuzzy payoffs to both students and researchers. It provides them with the all the necessary tools to understand the methods and the theory behind them. 


Subjective Judgments Impreciseness in the Payoffs Fuzzy Matrix Games Matrix Game with Interval Payoffs Matrix Games with Intuitionistic Fuzzy Sets Interval Valued Matrix Games Gaurika Method Mehar Method Vaishnavi Method Ambika Methods Solving Bimatrix Games Exact Solution of Bimatrix Games Solving Interval Matrix Games Fuzzy Linear Programming Models Triangular Fuzzy Numbers

Authors and affiliations

  • Tina Verma
    • 1
  • Amit Kumar
    • 2
  1. 1.Department of MathematicsIndian Institute of Technology RoparRupnagarIndia
  2. 2.School of MathematicsThapar Institute of Engineering and TechnologyPatialaIndia

Bibliographic information