Skip to Main content Skip to Navigation
Conference papers

Integrals Based on Monotone Measure: Optimization Tools and Special Functionals

Abstract : Integrals on finite spaces (e.g., sets of criteria in multicriteria decision support) based on capacities are discussed, axiomatized and examplified. We introduce first the universal integrals, covering the Choquet, Shilkret and Sugeno integrals. Based on optimization approach, we discuss decomposition and superdecomposition integrals. We introduce integrals which are universal and decomposition (superdecomposition) ones and integrals constructed by means of copulas. Several distinguished integrals are represented as particular functionals. Finally, we recall also OWA operators and some their generalizations.
Complete list of metadata
Contributor : Hal Ifip Connect in order to contact the contributor
Submitted on : Tuesday, January 24, 2017 - 10:41:45 AM
Last modification on : Wednesday, January 25, 2017 - 1:04:04 AM
Long-term archiving on: : Tuesday, April 25, 2017 - 2:06:20 PM


Files produced by the author(s)


Distributed under a Creative Commons Attribution 4.0 International License



Radko Mesiar. Integrals Based on Monotone Measure: Optimization Tools and Special Functionals. 14th Computer Information Systems and Industrial Management (CISIM), Sep 2015, Warsaw, Poland. pp.48-57, ⟨10.1007/978-3-319-24369-6_4⟩. ⟨hal-01444500⟩



Record views


Files downloads