Title
A Universal Integral
Abstract
Based on a minimal set of axioms we introduce a general integral which can be defined on arbitrary measurable spaces. It acts on measures which are only (finite) monotone set functions and on measurable functions whose range is contained in the unit, interval. We introduce the notion of integral equivalence of pairs of measures and functions which leads LIS to a Special important general integrals called universal integral. Several special types of such functionals, including extremal ones, are characterized.
Year
Venue
Keywords
2007
NEW DIMENSIONS IN FUZZY LOGIC AND RELATED TECHNOLOGIES, VOL I, PROCEEDINGS
General integral,monotone set function,integral equivalence,universal integral,Choquet integral,semicopula
Field
DocType
Citations 
Riemann integral,Discrete mathematics,Volume integral,Measurable function,Daniell integral,Multiple integral,Coarea formula,Lebesgue integration,Mathematics,Riemann–Stieltjes integral
Conference
6
PageRank 
References 
Authors
0.65
3
3
Name
Order
Citations
PageRank
Erich Peter Klement1989128.89
Radko Mesiar23778472.41
Endre Pap392191.69