Abstract | ||
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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 |
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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 Klement | 1 | 989 | 128.89 |
Radko Mesiar | 2 | 3778 | 472.41 |
Endre Pap | 3 | 921 | 91.69 |