Bi-matrix Games with Fuzzy Goals and Fuzzy

Authors:
V. Vidyottama;S. Chandra;C. R. Bector
Affiliations:
Department of Mathematics, Indian Institute of Technology, Hauz Khas, India;Department of Mathematics, Indian Institute of Technology, Hauz Khas, India;Department of Business Administration, The University of Manitoba, Manitoba, Canada
Venue:
Fuzzy Optimization and Decision Making
Year:
2004

Citing 11
Cited 10

Fuzzy linear programming models to solve fuzzy matrix games

Fuzzy Sets and Systems
Relationships between modality constrained programming problems and various fuzzy mathematical programming problems

Fuzzy Sets and Systems
Some properties of extended fuzzy preference relations using modalities

Information Sciences: an International Journal
Modality constrained programming problems: a unified approach to fuzzy mathematical programming problems in the setting of possibility theory

Information Sciences: an International Journal
Fuzzy sets and fuzzy logic: theory and applications

Fuzzy sets and fuzzy logic: theory and applications
Equilibrium solutions for multiobjective bimatrix games incorporating fuzzy goals

Journal of Optimization Theory and Applications
Fuzzy set theory—and its applications (3rd ed.)

Fuzzy set theory—and its applications (3rd ed.)
On duality in linear programming under fuzzy environment

Fuzzy Sets and Systems - Theme: Decision and optimization
Satisficing solutions and duality in interval and fuzzy linear programming

Fuzzy Sets and Systems - Special issue: Interfaces between fuzzy set theory and interval analysis
Matrix Games with Fuzzy Goals and Fuzzy Linear Programming Duality

Fuzzy Optimization and Decision Making
Fuzzy and Multiobjective Games for Conflict Resolution (Studies in Fuzziness and Soft Computing)

Fuzzy and Multiobjective Games for Conflict Resolution (Studies in Fuzziness and Soft Computing)

Existence of equilibrium solution for a non-cooperative game with fuzzy goals and parameters

Fuzzy Sets and Systems
Solving bimatrix games with fuzzy payoffs by introducing Nature as a third player

Fuzzy Sets and Systems
Non cooperative fuzzy games in normal form: A survey

Fuzzy Sets and Systems
Fuzzy multiobjective bimatrix games: introduction to the computational techniques

ISTASC'09 Proceedings of the 9th WSEAS International Conference on Systems Theory and Scientific Computation
Recent Literature Collected by Didier DUBOIS, Henri PRADE and Salvatore SESSA

Fuzzy Sets and Systems
Integration of bimatrix games with fuzzy strategy sets and fuzzy payoffs

FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 4
Fuzzy bimatrix games with single and multiple objective: introduction to the computational techniques

WSEAS TRANSACTIONS on SYSTEMS
Nash equilibrium strategy for fuzzy non-cooperative games

Fuzzy Sets and Systems
Proper cores and dominance cores of fuzzy games

Fuzzy Optimization and Decision Making
The Cournot production game with multiple firms under an ambiguous decision environment

Information Sciences: an International Journal

Quantified Score

Hi-index	0.00

Visualization

Abstract

A bi-matrix game with fuzzy goal is shown to be equivalent to a (crisp) non-linear programming problem in which the objective as well as all constraint functions are linear except two constraint functions, which are quadratic. This equivalence is further extended to bi-matrix games with fuzzy pay-offs, as well as to bi-matrix games with fuzzy goals and fuzzy payoffs, whose equilibrium strategies are conceptualized by employing a suitable ranking (defuzzification) function.