Fuzzy Games Based on Possibility Measures

Possibility space is presented based on axiomatic possibility measures theory. Then, we investigate games with fuzzy payoffs in the possibility space and do our work based on the axiomatic theory. The models about fuzzy matrix games are established for different objectives and these models are transformed into mathematic programming through the axiomatic possibility measures theory. Several concepts of equilibrium strategies are put forward with respect to fuzzy matrix games and the propositions about the equilibrium strategies are explored.