Structures d'ordres et sciences sociales

Mathématiques et sciences humaines. Mathematics and social sciences

Monjardet, Bernard¹  Leclerc, Bruno¹ 

关键词: lattice;    order;    median;    formal concepts analysis;    Galois lattices;    Guttman scale;    majority;   

DOI  :  10.4000/msh.12004

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 】

We present two frequent uses of order structures in Social Sciences. The first one addresses what is often called Formal Concept Analysis, particularly used in data analysis and data mining. The second concerns the "median procedure" present in social choice as well as in mathematical taxonomy. At the origins of each of these uses, one finds innovative results due to Marc Barbut. In the first case, about Guttman scales in hierarchic analysis and about Galois lattices, in the second, about relations between medians and Condorcet’s majority rule.

【 授权许可】

Unknown