Title
Integrals based on monotone set functions
Abstract
An overview of various integrals is given which can be defined on arbitrary monotone set functions vanishing in the empty set (called here monotone measures). Our survey includes not only the Choquet integral (1954) 10, the Shilkret integral (1971) 66 and the Sugeno integral (1974) 71 and some of their properties, but also some more general and more recent concepts as universal integrals Klement et al. (2010) 27 and decomposition integrals Even (2014) 13, together with some of their properties, such as integral inequalities and convergence theorems.
Year
DOI
Venue
2015
10.1016/j.fss.2015.07.010
Fuzzy Sets and Systems
Keywords
Field
DocType
Monotone measure,Choquet integral,Shilkret integral,Sugeno integral,Universal integral,Decomposition integral
Riemann integral,Discrete mathematics,Volume integral,Sugeno integral,Fuzzy measure theory,Daniell integral,Dirichlet integral,Multiple integral,Lebesgue integration,Mathematics
Journal
Volume
Issue
ISSN
281
C
0165-0114
Citations 
PageRank 
References 
17
1.08
22
Authors
4
Name
Order
Citations
PageRank
Erich Peter Klement1989128.89
Jun Li222134.16
Radko Mesiar33778472.41
Endre Pap492191.69