Fuzzy classification aggregation

IF 0.5 4区经济学 Q4 ECONOMICS

Mathematical Social Sciences Pub Date : 2025-05-01 DOI:10.1016/j.mathsocsci.2025.102422

Federico Fioravanti

引用次数: 0

Abstract

We consider the problem where a set of individuals has to classify

m

objects into

p

categories and does so by aggregating the individual classifications. We show that if

m \geq 3

m \geq p \geq 2

, and classifications are fuzzy, that is, objects belong to a category to a certain degree, then an optimal and independent aggregator rule that satisfies a weak unanimity condition belongs to the family of Weighted Arithmetic Means. We also obtain characterization results for

m = p = 2

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模糊分类聚合

我们考虑这样一个问题，一组个体必须将m个对象分类为p个类别，并通过汇总个体分类来实现。我们证明，如果m≥3，m≥p≥2，分类是模糊的，即对象在一定程度上属于一个类别，则满足弱一致条件的最优独立聚合规则属于加权算术均值族。我们也得到了m=p=2的表征结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Social Sciences 数学-数学跨学科应用

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

59 days

期刊介绍： The international, interdisciplinary journal Mathematical Social Sciences publishes original research articles, survey papers, short notes and book reviews. The journal emphasizes the unity of mathematical modelling in economics, psychology, political sciences, sociology and other social sciences. Topics of particular interest include the fundamental aspects of choice, information, and preferences (decision science) and of interaction (game theory and economic theory), the measurement of utility, welfare and inequality, the formal theories of justice and implementation, voting rules, cooperative games, fair division, cost allocation, bargaining, matching, social networks, and evolutionary and other dynamics models. Papers published by the journal are mathematically rigorous but no bounds, from above or from below, limits their technical level. All mathematical techniques may be used. The articles should be self-contained and readable by social scientists trained in mathematics.