Group decision-making method with fuzzy comparison matrices

Abstract

Abstract: Based on the extended Fuzzy c-Means（FCM） algorithm, a group decision-making approach, which is a mass of decision makers, is proposed. The FCM algorithm is extended to the environment of matrices. All the individual fuzzy preference relations are classified by the extended FCM algorithm. The cluster prototypes are aggregated by WAA operator into a collective fuzzy preference relation. The overall group decision-making process is shown, and the numerical example is given.

Key words: group decision-making, Fuzzy c-Means（FCM）, fuzzy preference relation, WAA operator, collective fuzzy preference relation

摘要： 为解决大型的群决策问题，对传统的模糊C均值算法（FCM）进行了扩展。通过扩展的算法对专家个体模糊判断矩阵聚类，获取模糊划分矩阵和聚类原型，根据模糊划分矩阵确定类权重，进而利用WAA算子对聚类原型进行集结，求取群综合模糊判断矩阵。通过算例验证了该算法的可行性。

关键词: 群决策, 模糊C均值, 模糊判断矩阵, WAA算子, 群综合模糊判断矩阵

LAN Jibin, YE Xinmiao, HU Mingming. Group decision-making method with fuzzy comparison matrices[J]. Computer Engineering and Applications, 2012, 48(31): 43-48.

兰继斌，叶新苗，胡明明. 模糊判断矩阵环境下的大型群决策方法[J]. 计算机工程与应用, 2012, 48(31): 43-48.

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Group decision-making method with fuzzy comparison matrices

模糊判断矩阵环境下的大型群决策方法

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