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Multidistances and inequality measures on abstract sets: an axiomatic approach

M.J. Campión, I. Díaz, E. Induráin, J. Martín, G. Mayor, S. Montes, A. Raventós-Pujol
2021 Fuzzy sets and systems (Print)  
Starting from the notion of a multidistance, we formalize, through a suitable system of axioms, the concept of an inequality measure defined on a nonempty set with no additional structure implemented a  ...  Among inequality measures, apart from multidistances we pay special attention to dispersions, and study their main features. Classical concepts will be generalized to this abstract setting.  ...  Thanks are given to editors and anonymous referees for their valuable suggestions and comments.  ... 
doi:10.1016/j.fss.2021.05.010 fatcat:4b6f7kgfnvfnhki6acx5ucydni

Data Fusion: Theory, Methods, and Applications [article]

Marek Gagolewski
2015 Zenodo  
decision support systems, imputation of missing values, data deduplication and consolidation, record linkage across heterogeneous databases, and clustering.  ...  to Aggregation 2.0, as well as points out the challenges and interesting directions for further research.  ...  Let M (Ω,F ) denote the set of all monotone measures on (Ω, F) and R (Ω,F ) designate the set of all F-measurable functions X : Ω → [0, ∞]. Remark 1.89.  ... 
doi:10.5281/zenodo.6960327 fatcat:ohur72os4nddfan2tz7jqbske4

Data Fusion: Theory, Methods, and Applications [article]

Marek Gagolewski
2022 arXiv   pre-print
decision support systems, imputation of missing values, data deduplication and consolidation, record linkage across heterogeneous databases, and clustering.  ...  to Aggregation 2.0, as well as points out the challenges and interesting directions for further research.  ...  Let M (Ω,F ) denote the set of all monotone measures on (Ω, F) and R (Ω,F ) designate the set of all F-measurable functions X : Ω → [0, ∞]. Remark 1.89.  ... 
arXiv:2208.01644v1 fatcat:3bien2qm6zd3pbtvmrtchfb6kq