Superadditive and subadditive transformations of integrals and aggregation functions

Salvatore Greco, Radko Mesiar, Fabio Rindone, Ladislav Šipeky

Research output: Contribution to journalArticlepeer-review

142 Downloads (Pure)

Abstract

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. Superadditive transformation of the Choquet integral, as well as of the Shilkret integral, is shown to coincide with the corresponding concave integral recently introduced by Lehrer. Similarly the transformation of the Sugeno integral is studied. Moreover, subadditive transformation of distinguished integrals is also discussed.
Original languageEnglish
Pages (from-to)40-53
JournalFuzzy Sets and Systems
Volume291
Early online date14 Aug 2015
DOIs
Publication statusPublished - 15 May 2016

Keywords

  • Aggregation function;
  • Superadditive and subadditive transformations
  • Fuzzy integrals

Fingerprint

Dive into the research topics of 'Superadditive and subadditive transformations of integrals and aggregation functions'. Together they form a unique fingerprint.

Cite this