Sur le consensus en catégorisation libre

Mathématiques et sciences humaines. Mathematics and social sciences

Guénoche, Alain¹ 

关键词: consensus;    categorization data;    partitions;    tree representation;   

DOI  :  10.4000/msh.12188

学科分类：数学（综合）

来源: College de France * Ecole des Hautes Etudes en Sciences Sociales (E H E S S)

【 摘 要 】

Starting from individual judgments given as categories (i.e., a profile of partitions on an item set X), we attempt to establish a collective partitioning of the items. For that task, we compare two combinatorial approaches. The first one allows us to calculate a consensus partition, namely the median partition of the profile, which is the partition of X whose sum of distances to the individual partitions is minimal. Then, the collective classes are the classes of this partition. The second one consists in calculating, first, a distance D on X based on the profile and then in building an X-tree associated to D. The collective classes are then some of its subtrees. We compare these two approaches and more specifically study the extent to which they produce the same decision as a set of collective classes.

【 授权许可】

Unknown