Discrete Integrals and Axiomatically Defined Functionals

Axioms

Erich Peter Klement¹ 

[1] Department of Knowledge-Based Mathematical Systems, Johannes Kepler University, Altenbergerstraße 69, Linz, Austria

关键词: capacity;    Choquet integral;    copula;    fuzzy integral;    OWA operator;    OMA operator;    Sugeno integral;   

DOI  :  10.3390/axioms1010009

来源: mdpi

【 摘 要 】

Several discrete universal integrals on finite universes are discussed from an axiomatic point of view. We start from the first attempt due to B. Riemann and cover also most recent approaches based on level dependent capacities. Our survey includes, among others, the Choquet and the Sugeno integral and general copula-based integrals.

【 授权许可】

CC BY   
© 2012 by the authors; licensee MDPI, Basel, Switzerland.