Solutions based on fuzzy goals in fuzzy linear programming games

In this paper, we deal with linear programming problems with fuzzy paramete rs from the viewpoint of experts' imprecise or fuzzy understanding of the n ature of parameters in a problem-formulation process and consider fuzzy lin ear programming games arising from the linear programming problems. Constru cting fuzzy goals of coalitions with respect to payoff in order to suitably reflect fuzzy environments in which the linear programming games are formu lated, we define solutions maximizing minimal fuzzy goal and solutions maxi mizing the sum of fuzzy goals and develop computational methods for obtaini ng the solutions. Finally we give a numerical example to illustrate constru ction of a fuzzy linear programming game and derivation of the solutions. ( C) 2000 Elsevier Science B.V. All rights reserved.