Fuzzy vs. Minmax Weighted Multiobjective Linear Programming Illustrative Comparisons
比较了模糊线性规划法和最小最大距离度量法在求解加权多目标线性规划问题时的异同,发现等权重时解相同,不等权重时解不同,并解释了权重含义对决策者的影响。
ABSTRACT This paper compares two approaches to the solution of weighted multiobjective linear programming problems: the fuzzy linear programming method and the minmax distance metric. The two models produce an identical solution for equally weighted objectives, but the solutions differ when the objectives are unequally weighted. This is due to the underlying meaning of the weights attached to each solution method. The paper illustrates the graphical meaning of the weights and the implications to the decision maker.