二分群体决策规则的序性质研究

Research on essential order of decision rules in dichotomous group decision making

Karotkin等发现二分群体决策的加权多数决策规则集具有序性质,但未能解释其原因.文章提出了规则链和规则距离函数的概念,指出当一组决策规则构成规则链时这组规则便具有序性质,从而解释了这一现象.而判断一组规则是否构成规则链则可以通过计算各规则间的规则距离来实现.随后通过对具体实例的分析进一步阐述了得到的结论.

Karotkin et al discovered that sets of weighted majority roles possess a property of essential order. However, they didn＇t explain the reason of that. In this paper, we proposed the concept of decision-rule chain and distance function of decision rules, and pointed out that when a set of decision roles compose a decision-rule chain they possess the property of essential order. Therefore the property of essential order is explained. And we can examine whether a set of decision rules compose a decision-role chain by computing the distances of those decision rules. The conclusion is further illustrated with an example.