
Abstract In this article, we present interactive computer programs fof solving fuzzy linear programming problems with multiple objectives. Through the use of five types of membership functions including non-linear functions, the fuzzy of imprecise goals of the decision maker are quantified. Although the formulated problem becomes a nonlinear programming problem, it can be reduced to a set of linear inequalities if some variable is fixed. Based on this idea, we propose a new method by combined use of bisection method and linear programming method. On the basis of the proposed method, FORTRAN programs that run in conversational mode are developed to implement man-machine interactive procedures. The commands in our programs and major prompt messages are also explained. An illustrative numerical example for the interactive processes is demonstrated together with the computer outputs
Management decision making, including multiple objectives, decision-making, Decision theory, Fuzzy sets and logic (in connection with information, communication, or circuits theory), Linear programming, Sensitivity, stability, parametric optimization, interactive computer programs, simplex method, Theory of fuzzy sets, etc., multiobjective linear programming, fuzzy goals
Management decision making, including multiple objectives, decision-making, Decision theory, Fuzzy sets and logic (in connection with information, communication, or circuits theory), Linear programming, Sensitivity, stability, parametric optimization, interactive computer programs, simplex method, Theory of fuzzy sets, etc., multiobjective linear programming, fuzzy goals
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