Production Planning Games in Uncertain Environment

In this paper, a production planning game with single and multiobjectives in uncertain environment is considered. In this problem, the parameters are assumed to be fuzzy variables. By the notions of the expected value and the critical value, the concept of the solutions in the game is introduced. It is shown that the game is balanced and the core of game is nonempty. The duality theory in single-objective and the weighted sum method in multiobjective games are proposed to obtain the payoffs of the players. Finally, the validity and applicability of the method are illustrated by a practical example.