Abstract
In this paper, we examine a linear programming problem with multiple decision makers and consider allocation of an optimal value of an objective function among the decision makers. Especially, we deal with a linear programming problem with fuzzy parameters from the viewpoint of experts'imprecise or fuzzy understanding of the nature of parameters in a problem-formulation process and consider a fuzzy linear programming game arising from the linear programming problem. Constructing fuzzy goals of coalitions with respect to payoff in order to suitably reflect fuzzy environments in which the linear programming game is formulated, we define a solution concept maximizing minimal fuzzy goal and a solution concept maximizing the sum of fuzzy goals, and develop computational methods for obtaining the solutions. Finally using a numerical example, we illustate how to arise a fuzzy linear programming game and to derive the solutions.
