Superadditive and subadditive transformations of integrals and aggregation functions

• Published in: Fuzzy sets and systems Vol. 291; pp. 40 - 53
• Main Authors: Greco, Salvatore, Mesiar, Radko, Rindone, Fabio, Šipeky, Ladislav
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.05.2016
• Subjects: Agglomeration; Aggregation function; Fuzzy integrals; Fuzzy set theory; Integrals; Links; Superadditive and subadditive transformations; Transformations; Transformations (mathematics); Transforms; Superadditive and subadditive transformations; Aggregation function; Fuzzy integrals

We propose the concepts of superadditive and of subadditive transformations of aggregation functions acting on non-negative reals, in particular of integrals with respect to monotone measures. We discuss special properties of the proposed transforms and links between some distinguished integrals. Su...