Fuzzy linear programming models to solve fuzzy matrix games
Fuzzy Sets and Systems
Equilibrium solutions in multiobjective bimatrix games with fuzzy payoffs and fuzzy goals
Fuzzy Sets and Systems - Fuzzy mathematical programming
Matrix Games with Fuzzy Goals and Fuzzy Linear Programming Duality
Fuzzy Optimization and Decision Making
Bi-matrix Games with Fuzzy Goals and Fuzzy
Fuzzy Optimization and Decision Making
Fuzzy Mathematical Programming and Fuzzy Matrix Games (Studies in Fuzziness and Soft Computing)
Fuzzy Mathematical Programming and Fuzzy Matrix Games (Studies in Fuzziness and Soft Computing)
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
Non cooperative fuzzy games in normal form: A survey
Fuzzy Sets and Systems
Inequality relation between fuzzy numbers and its use in fuzzy optimization
Fuzzy Sets and Systems
Games with ambiguous payoffs and played by ambiguity and regret minimising players
AI'12 Proceedings of the 25th Australasian joint conference on Advances in Artificial Intelligence
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In this article, two-person zero-sum games are investigated in the fuzzy environment. Several models constructed by Maeda in the symmetrical fuzzy environment are extended to the models in the asymmetric fuzzy environment. The existence of equilibrium strategies for these extended models is proposed in the asymmetric fuzzy environment. However, in some cases, Nash equilibrium strategies may not exist. Therefore, two special cases are presented for which Nash equilibrium strategies do exist. In order to investigate the existence of (weak) Pareto Nash equilibrium strategies for fuzzy matrix games, we introduce the concept of crisp bi-matrix games with parameters. By solving the parametric bi-matrix games, we obtain the (weak) Pareto Nash equilibrium strategies for the fuzzy matrix games.