区间概率语言环境下的大群体决策方法研究

Research on Large Group Decision-Making Methods Under Interval Probability Linguistic Environment

已有大群体决策问题大都探讨概率语言和犹豫模糊语言的环境,区间概率语言环境少有研究.文章针对区间概率语言环境下的大群体决策方法采用改进的密度加权平均算子进行信息集结,拓展了已有的研究.文章借助预处理后的区间概率语言数据,在DEMATEL评分矩阵中采用改进的K均值聚类法实现数据的聚类分组.之后,借助改进的密度加权平均算子进行信息集结,运用改进的DEMATEL方法确定属性权重,进而得到大群体决策的结果.文章所用方法适用于解决区间概率语言环境下属性间相互影响的的大群体决策问题,弥补了现有大群体决策中评分分布不均匀的不足,为大群体决策的进一步研究提供了方向.

The existing research on large group decision-making mostly focuses on probabilistic linguistic and hesitant fuzzy linguistic environments,with less attention given to interval probabilistic linguistic environments.This paper aims to contribute to this gap by introducing an improved density-weighted average operator for information aggregation in large group decision-making methods within interval probabilistic linguistic environments.The paper utilizes preprocessed interval probabilistic linguistic data,employing an improved K-means clustering method to cluster the data in the DEMATEL scoring matrix.Subsequently,information clustering is conducted using the improved density-weighted average operator,and the improved DEMATEL method is used to determine attribute weights,leading to the results of large group decision making.The proposed method is suitable for addressing the challenge of large group decision-making under uncertain environments with mutual influence among attributes.It addresses the limitation of interval probabilistic linguistic score distribution in existing large group decision-making approaches and offers a promising direction for further research in this area.