Fuzzy Classification Aggregation
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 $m= p= 2$.
Code (0)
등록된 구현이 없습니다.
Tasks
ClassificationMethods 이 논문이 사용한 방법론
Similar Papers 제목 키워드 기반
Fuzzy Classification Aggregation for a Continuum of Agents
We prove that any optimal, independent, and zero unanimous fuzzy classification aggregation function of a continuum of individual classifications of $m\ge 3$ objects into $2\le p\le m$ types must be a weighted arithmetic…
ClassificationMISO hierarchical inference engine satisfying the law of importation with aggregation functions
Fuzzy inference engine, as one of the most important components of fuzzy systems, can obtain some meaningful outputs from fuzzy sets on input space and fuzzy rule base using fuzzy logic inference methods. In order to enh…
Computational EfficiencyMP and MT properties of fuzzy inference with aggregation function
As the two basic fuzzy inference models, fuzzy modus ponens (FMP) and fuzzy modus tollens (FMT) have the important application in artificial intelligence. In order to solve FMP and FMT problems, Zadeh proposed a composit…
Decision MakingNegationFuzzy Pooling
Convolutional Neural Networks (CNNs) are artificial learning systems typically based on two operations: convolution, which implements feature extraction through filtering, and pooling, which implements dimensionality red…
ClassificationDimensionality Reductionimage-classificationImage ClassificationFuzzy Pooling
Convolutional Neural Networks (CNNs) are artificial learning systems typically based on two operations: convolution, which implements feature extraction through filtering, and pooling, which implements dimensionality red…
ClassificationDimensionality Reductionimage-classificationImage Classification