Integrals based on monotone set functions

doi:10.1016/j.fss.2015.07.010

Integrals based on monotone set functions

2015-12-01

56

PRE

AI

E

Erich Peter Klement *

DOI：10.1016/j.fss.2015.07.010

原文链接

原文求助

摘要

En 中文

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 onlythe 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 etal. (2010) [27] and decomposition integrals Even (2014) [13], together with some of their properties, such as integral inequalities and convergence theorems. (C) 2015 Elsevier B.V. All rights reserved.

Keyword:

Monotone measure

Choquet integral

Shilkret integral

Sugeno integral

Universal integral

Decomposition integral

Integrals based on monotone set functions

摘要

AI总结

期刊

机构