变权决策中均衡函数均衡效果

讨论和型与积型可分解均衡函数的均衡效果.首先引入惩罚力度和激励力度两个概念,它们分别反映可分解惩罚式均衡函数和激励式均衡函数在变权决策过程中的均衡能力.然后从三个角度分析均衡函数在不同惩罚力度或激励力度下的均衡效果:一是对变权向量的orness测度值的均衡效果;二是对因素权重的均衡效果;三是对综合决策值的均衡效果.结果表明,从可分解均衡函数的惩罚力度和激励力度出发,能很好地掌握均衡函数在变权决策中的作用规律,并且能为变权决策过程中如何选择合适的均衡函数从多方面提供考量准则.

The effectiveness of balance function invariable weights decision making

The effectiveness of two classes of balance function, summing and multiplying decomposable balance function, in variable weights decision making is discussed. Two concepts of penalty capability and stimulation capability of decomposable balance function are defined, which reflect the balance ability of the penalty balance function and stimulation balance function respectively. The balance effectiveness of the balance function is analyzed in three aspects. The first one is the influence of the balance function on the orness measure of variable weight vector. The second aspect is the influence on the factor weights transferring. In the third aspect, the influence of the balance on the synthesis value is discussed. The results manifest that the law of the operation of the decomposable balance function can be grasped easily by considering the capability of the penalty and stimulation. It also shows that the general principle of selection an appropriate balance function in decision making is presented theoretically by applying the capability of the balance function.