Solutions based on fuzzy goals in fuzzy linear programming games

In this paper, we deal with linear programming problems with fuzzy parameters from the viewpoint of experts' imprecise or fuzzy understanding of the nature of parameters in a problem-formulation process and consider fuzzy linear programming games arising from the linear programming problems. Constructing fuzzy goals of coalitions with respect to payoff in order to suitably reflect fuzzy environments in which the linear programming games are formulated, we define solutions maximizing minimal fuzzy goal and solutions maximizing the sum of fuzzy goals and develop computational methods for obtaining the solutions. Finally we give a numerical example to illustrate construction of a fuzzy linear programming game and derivation of the solutions. (C) 2000 Elsevier Science B.V. All rights reserved.