1998 Volume 10 Issue 4 Pages 743-750
In this paper we consider a production model in which multiple decision makers pool resources to produce finished goods. Such a production model, which is assumed to be linear, can be formulated as a mathematical programming problem with fuzzy parameters from the viewpoint of experts' imprecise or fuzzy understanding of the nature of parameters in a problem-formulation process. It is shown that a cooperative game with values of coalitions represented by fuzzy numbers arises from the linear production programming problem with fuzzy parameters, and such a game is referred to as a fuzzy linear production programming game. The values of coalitions in the game can be obtained by employing a parametric approach to solving the linear production programming problem with fuzzy parameters. We employ the α-core, which is the extended core in fuzzy cooperative games, as a solution concept. It is proven that the α-core of the game is not empty, and a computational method is developed.
