基于交互密度算子的交互式群体评价信息集结方法及其应用

A Method of Interactive Group Evaluation Information Aggregation Based on Interactive Density Operator and Its Application

交互式群体评价的一个难点问题是评价信息的集结问题,而国内较少有文献从信息集结算子的角度进行探讨,针对这种不足,同时考虑到信息分布密度是交互式群体评价信息集结的一个重要特征,本文提出了一种基于交互密度算子的交互式群体评价信息集结方法。提出了交互密度算术加权算子(IDWA)与交互密度几何加权算子(IDWGA)两种新的算子,并对新算子的相关性质进行了分析,同时介绍了IDWA和IDWGA算子加权向量(即密度权向量)的确定方法。最后将该方法进行了运用。文章对交互式评价信息集结问题提供了一种新的研究思路。

A difficulty for interactive group evaluation is the aggregation of evaluation information. The rel- evant researches in China rarely discuss the issue from the perspective of information aggregation operator. To make up this deficiency, and taking into consideration that information distribution density is an impor- tant character of interactive group evaluation information aggregation, a new method of interactive group evaluation information aggregation method is proposed in this paper based on interactive density operator. Two new operators-interactive density arithmetical weighted operator （IDWA）and interactive density geo- metrical weighted operator （IDWGA）are proposed, and relevant properties of the two new operators are discussed. In addition, the way to determine the density weighted factors of the two operators is intro- duced. At last, the new method is applied in an example to illustrate its effectiveness. A new research idea of interactive group evaluation information aggregation problems is provided in this paper.